Publications - Discrete event systems and max-plus algebra

Bart De Schutter

Note: If the pdf file (pdf) of the technical report that corresponds to a given publication is available, then this is indicated at the end of the entry for that publication. More information on the pdf file format can be found here. Hardcopies of the papers can also be requested by contacting me.



  1. S.S. Farahani, T.J.J. van den Boom, and B. De Schutter, "On optimization of stochastic max-min-plus-scaling systems - An approximation approach," Automatica, vol. 83, pp. 20-27, Sept. 2017.  (online paperbibtex)

  2. J. Xu, T.J.J. van den Boom, and B. De Schutter, "Model predictive control for stochastic max-plus linear systems with chance constraints," IEEE Transactions on Automatic Control, 2017. To appear.  (bibtex)

  3. J. Xu, T. van den Boom, and B. De Schutter, "Optimistic optimization for model predictive control of max-plus linear systems," Automatica, vol. 74, pp. 16-22, Dec. 2016.  (online paperbibtex)

  4. J. Xu, T.J.J. van den Boom, B. De Schutter, and S. Wang, "Irredundant lattice representations of continuous piecewise affine functions," Automatica, vol. 70, pp. 109-120, Aug. 2016.  (online paperabstractbibtex)

  5. J. Xu, T.J.J. van den Boom, L. Busoniu, and B. De Schutter, "Model predictive control for continuous piecewise affine systems using optimistic optimization," Proceedings of the 2016 American Control Conference, Boston, Massachusetts, pp. 4482-4487, July 2016.  (online paperbibtex)

  6. D.J. Nativ, A. Cataldo, R. Scattolini, and B. De Schutter, "Model predictive control of an automated storage/retrieval system," Proceedings of the 8th IFAC Conference on Manufacturing Modelling, Management and Control (MIM 2016), Troyes, France, pp. 1335-1340, June 2016.  (online paperabstractbibtextech. rep. (pdf))

  7. J. Xu, L. Busoniu, T.J.J. van den Boom, and B. De Schutter, "Receding-horizon control for max-plus linear systems with discrete actions using optimistic planning," Proceedings of the 13th International Workshop on Discrete Event Systems, Xi'an, China, pp. 398-403, May-June 2016.  (online paperbibtex)

  8. J. Xu, T.J.J. van den Boom, B. De Schutter, and X. Luo, "Minimal conjunctive normal expression of continuous piecewise affine functions," IEEE Transactions on Automatic Control, vol. 61, no. 5, pp. 1340-1345, May 2016.  (online paperabstractbibtex)

  9. S.S. Farahani, T. van den Boom, H. van der Weide, and B. De Schutter, "An approximation method for computing the expected value of max-affine expressions," European Journal of Control, vol. 27, pp. 17-27, 2016.  (online paperabstractbibtextech. rep. (pdf))

  10. B. Kersbergen, J. Rudan, T. van den Boom, and B. De Schutter, "Towards railway traffic management using switching max-plus-linear systems - Structure analysis and rescheduling," Discrete Event Dynamic Systems: Theory and Applications, vol. 26, no. 2, pp. 183-223, 2016.  (online paperbibtex)

  11. G.A.D. Lopes, B. Kersbergen, B. De Schutter, T. van den Boom, and R. Babuska, "Synchronization of a class of cyclic discrete-event systems describing legged locomotion," Discrete Event Dynamic Systems: Theory and Applications, vol. 26, no. 2, pp. 225-261, 2016.  (online paperbibtex)

  12. D. Adzkiya, B. De Schutter, and A. Abate, "Computational techniques for reachability analysis of max-plus-linear systems," Automatica, vol. 53, pp. 293-302, Mar. 2015.  (online paperbibtex)

  13. S.S. Farahani, T. van den Boom, and B. De Schutter, "Exact and approximate approaches to the identification of stochastic max-plus-linear systems," Discrete Event Dynamic Systems: Theory and Applications, vol. 24, no. 4, pp. 447-471, Dec. 2014.  (online paperabstractbibtextech. rep. (pdf))

  14. T.J.J. van den Boom and B. De Schutter, "Analytic expressions in stochastic max-plus-linear algebra," Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, California, pp. 1608-1613, Dec. 2014.  (online paperabstractbibtextech. rep. (pdf))

  15. B. Kersbergen, T. van den Boom, and B. De Schutter, "Distributed model predictive control for rescheduling of railway traffic," Proceedings of the 17th International IEEE Conference on Intelligent Transportation Systems (ITSC 2014), Qingdao, China, pp. 2732-2737, Oct. 2014.  (online paperbibtex)

  16. G.A.D. Lopes, B. Kersbergen, T.J.J. van den Boom, B. De Schutter, and R. Babuska, "Modeling and control of legged locomotion via switching max-plus models," IEEE Transactions on Robotics, vol. 30, no. 3, pp. 652-665, June 2014.  (online paperabstractbibtextech. rep. (pdf))

  17. D. Adzkiya, B. De Schutter, and A. Abate, "Backward reachability of autonomous max-plus-linear systems," Proceedings of the 12th IFAC/IEEE Workshop on Discrete Event Systems, Cachan, France, pp. 117-122, May 2014.  (online paperbibtex)

  18. J. Xu, B. De Schutter, and T.J.J. van den Boom, "Model predictive control for max-plus-linear systems via optimistic optimization," Proceedings of the 12th IFAC/IEEE Workshop on Discrete Event Systems, Cachan, France, pp. 111-116, May 2014.  (online paperbibtex)

  19. D. Adzkiya, B. De Schutter, and A. Abate, "Forward reachability computation for autonomous max-plus-linear systems," Proceedings of the 20th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2014), Grenoble, France, pp. 248-262, Apr. 2014.  (bibtex)

  20. T.J.J. van den Boom and B. De Schutter, "Model predictive control of manufacturing systems with max-plus algebra," Chapter 12 in Formal Methods in Manufacturing (J. Campos, C. Seatzu, and X. Xie, eds.), Industrial Information Technology, CRC Press, ISBN 978-1466561557, pp. 343-378, Feb. 2014.  (abstractbibtextech. rep. (pdf))

  21. D. Adzkiya, B. De Schutter, and A. Abate, "Finite abstractions of max-plus-linear systems," IEEE Transactions on Automatic Control, vol. 58, no. 12, pp. 3039-3053, Dec. 2013.  (online paperabstractbibtextech. rep. (pdf))

  22. T.J.J. van den Boom, G.D. Lopes, and B. De Schutter, "A modeling framework for model predictive scheduling using switching max-plus linear models," Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, pp. 5456-5461, Dec. 2013.  (abstractbibtextech. rep. (pdf))

  23. B. Kersbergen, T. van den Boom, and B. De Schutter, "Reducing the time needed to solve the global rescheduling problem for railway networks," Proceedings of the 16th International IEEE Conference on Intelligent Transportation Systems (ITSC 2013), The Hague, The Netherlands, pp. 791-796, Oct. 2013.  (abstractbibtextech. rep. (pdf))

  24. D. Adzkiya, B. De Schutter, and A. Abate, "Finite abstractions of nonautonomous max-plus-linear systems," Proceedings of the 2013 American Control Conference, Washington, DC, pp. 4393-4398, June 2013.  (abstractbibtextech. rep. (pdf))

  25. B. Kersbergen, T. van den Boom, and B. De Schutter, "On implicit versus explicit max-plus modeling for the rescheduling of trains," Proceedings of the 5th International Seminar on Railway Operations Modelling and Analysis (RailCopenhagen), Copenhagen, Denmark, 15 pp., May 2013.  (abstractbibtextech. rep. (pdf))

  26. G.A.D. Lopes, B. De Schutter, and T.J.J. van den Boom, "On the synchronization of cyclic discrete-event systems," Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, pp. 5810-5815, Dec. 2012.  (abstractbibtextech. rep. (pdf))

  27. T.J.J. van den Boom, B. Kersbergen, and B. De Schutter, "Structured modeling, analysis, and control of complex railway operations," Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, pp. 7366-7371, Dec. 2012.  (abstractbibtextech. rep. (pdf))

  28. S. van Loenhout, T. van den Boom, S. Farahani, and B. De Schutter, "Model predictive control for stochastic switching max-plus-linear systems," Proceedings of the 11th International Workshop on Discrete Event Systems (WODES 2012) (A. Ramírez Treviño, E. López Mellado, J.J. Lesage, and M. Silva, eds.), Guadalajara, Mexico, pp. 79-84, Oct. 2012.  (online paperabstractbibtextech. rep. (pdf))

  29. T.J.J. van den Boom and B. De Schutter, "Modeling and control of switching max-plus-linear systems with random and deterministic switching," Discrete Event Dynamic Systems: Theory and Applications, vol. 22, no. 3, pp. 293-332, Sept. 2012.  (online paperabstractbibtextech. rep. (pdf))

  30. D. Adzkiya, B. De Schutter, and A. Abate, "Abstraction and verification of autonomous max-plus-linear systems," Proceedings of the 2012 American Control Conference, Montréal, Canada, pp. 721-726, June 2012.  (abstractbibtextech. rep. (pdf))

  31. S.S. Farahani, T. van den Boom, and B. De Schutter, "Model predictive control for stochastic max-min-plus-scaling systems - An approximation approach," Proceedings of the 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), Orlando, Florida, pp. 391-396, Dec. 2011.  (abstractbibtextech. rep. (pdf))

  32. G.A.D. Lopes, B. Kersbergen, T. van den Boom, B. De Schutter, and R. Babuska, "On the eigenstructure of a class of max-plus linear systems," Proceedings of the 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), Orlando, Florida, pp. 1823-1828, Dec. 2011.  (abstractbibtextech. rep. (pdf))

  33. B. Kersbergen, G.A.D. Lopes, T.J.J. van den Boom, B. De Schutter, and R. Babuska, "Optimal gait switching for legged locomotion," Proceedings of the 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'11), San Francisco, California, pp. 2729-2734, Sept. 2011.  (online paperabstractbibtextech. rep. (pdf))

  34. S.S. Farahani, T. van den Boom, and B. De Schutter, "An approximation approach for identification of stochastic max-plus linear systems," Proceedings of the 18th IFAC World Congress, Milan, Italy, pp. 8241-8246, Aug.-Sept. 2011.  (online paperabstractbibtextech. rep. (pdf))

  35. T.J.J. van den Boom, N. Weiss, W. Leune, R.M.P. Goverde, and B. De Schutter, "A permutation-based algorithm to optimally reschedule trains in a railway traffic network," Proceedings of the 18th IFAC World Congress, Milan, Italy, pp. 9537-9542, Aug.-Sept. 2011.  (online paperabstractbibtextech. rep. (pdf))

  36. T. van den Boom and B. De Schutter, "A stabilizing model predictive controller for uncertain max-plus-linear systems and uncertain switching max-plus-linear systems," Proceedings of the 18th IFAC World Congress, Milan, Italy, pp. 8663-8668, Aug.-Sept. 2011.  (online paperabstractbibtextech. rep. (pdf))

  37. T. van den Boom and B. De Schutter, "Model predictive control for randomly switching max-plus-linear systems using a scenario-based algorithm," Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, pp. 2298-2303, Dec. 2010.  (abstractbibtextech. rep. (pdf))

  38. S.S. Farahani, T. van den Boom, H. van der Weide, and B. De Schutter, "An approximation approach for model predictive control of stochastic max-plus linear systems," Proceedings of the 10th International Workshop on Discrete Event Systems (WODES 2010), Berlin, Germany, pp. 376-381, Aug.-Sept. 2010.  (online paperabstractbibtextech. rep. (pdf))

  39. G.A.D. Lopes, T.J.J. van den Boom, B. De Schutter, and R. Babuska, "Modeling and control of legged locomotion via switching max-plus systems," Proceedings of the 10th International Workshop on Discrete Event Systems (WODES 2010), Berlin, Germany, pp. 382-387, Aug.-Sept. 2010.  (online paperabstractbibtextech. rep. (pdf))

  40. G.A.D. Lopes, R. Babuska, B. De Schutter, and A.J.J. van den Boom, "Switching max-plus models for legged locomotion," Proceedings of the 2009 IEEE International Conference on Robotics and Biomimetics (ROBIO 2009), Guilin, China, pp. 221-226, Dec. 2009.  (abstractbibtextech. rep. (pdf))

  41. T.J.J. van den Boom and B. De Schutter, "MPC for max-plus-linear systems with an output cost criterion: Steady-state behavior and guaranteed stability," Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, China, pp. 2286-2291, Dec. 2009.  (abstractbibtextech. rep. (pdf))

  42. I. Necoara, B. De Schutter, T.J.J. van den Boom, and H. Hellendoorn, "Robust control of constrained max-plus-linear systems," International Journal of Robust and Nonlinear Control, vol. 19, no. 2, pp. 218-242, Jan. 2009.  (online paperabstractbibtextech. rep. (pdf))

  43. T. van den Boom and B. De Schutter, "Model predictive control for switching max-plus-linear systems with random and deterministic switching," Proceedings of the 17th IFAC World Congress, Seoul, Korea, pp. 7660-7665, July 2008.  (online paperabstractbibtextech. rep. (pdf))

  44. I. Necoara, B. De Schutter, T. van den Boom, and H. Hellendoorn, "Model predictive control for uncertain max-min-plus-scaling systems," International Journal of Control, vol. 81, no. 5, pp. 701-713, May 2008.  (online paperabstractbibtextech. rep. (pdf))

  45. B. De Schutter and T. van den Boom, "Max-plus algebra and max-plus linear discrete event systems: An introduction," Proceedings of the 9th International Workshop on Discrete Event Systems (WODES'08), Göteborg, Sweden, pp. 36-42, May 2008.  (abstractbibtextech. rep. (pdf))

  46. T. van den Boom and B. De Schutter, "Randomly switching max-plus linear systems and equivalent classes of discrete event systems," Proceedings of the 9th International Workshop on Discrete Event Systems (WODES'08), Göteborg, Sweden, pp. 242-247, May 2008.  (abstractbibtextech. rep. (pdf))

  47. I. Necoara, T.J.J. van den Boom, B. De Schutter, and H. Hellendoorn, "Stabilization of max-plus-linear systems using model predictive control: The unconstrained case," Automatica, vol. 44, no. 4, pp. 971-981, Apr. 2008.  (online paperabstractbibtextech. rep. (pdf))

  48. B. De Schutter, "The extended linear complementarity problem and its applications in analysis and control of discrete-event systems," in Pareto Optimality, Game Theory and Equilibria (A. Chinchuluun, P.M. Pardalos, A. Migdalas, and L. Pitsoulis, eds.), vol. 17 of Springer Optimization and Its Applications, New York, New York: Springer, ISBN 978-0-387-77246-2, pp. 541-570, 2008.  (online versionabstractbibtextech. rep. (pdf))

  49. I. Necoara, B. De Schutter, T.J.J. van den Boom, and H. Hellendoorn, "Stable model predictive control for constrained max-plus-linear systems," Discrete Event Dynamic Systems: Theory and Applications, vol. 17, no. 3, pp. 329-354, Sept. 2007.  (online paperabstractbibtextech. rep. (pdf))

  50. T. van den Boom and B. De Schutter, "Stabilizing model predictive controllers for randomly switching max-plus-linear systems," Proceedings of the European Control Conference 2007 (ECC'07), Kos, Greece, pp. 4952-4959, July 2007.  (abstractbibtextech. rep. (pdf))

  51. I. Necoara, E.C. Kerrigan, B. De Schutter, and T.J.J. van den Boom, "Finite-horizon min-max control of max-plus-linear systems," IEEE Transactions on Automatic Control, vol. 52, no. 6, pp. 1088-1093, June 2007.  (online paperabstractbibtextech. rep. (pdf))

  52. T.J.J. van den Boom, B. Heidergott, and B. De Schutter, "Complexity reduction in MPC for stochastic max-plus-linear discrete event systems by variability expansion," Automatica, vol. 43, no. 6, pp. 1058-1063, June 2007.  (online paperabstractbibtextech. rep. (pdf))

  53. G. Jiroveanu, B. De Schutter, and R.K. Boel, "The on-line diagnosis of time Petri nets based on partial orders," Chapter 21 in Taming Heterogeneity and Complexity of Embedded Control (F. Lamnabhi-Lagarrigue, S. Laghrouche, A. Loria, and E. Panteley, eds.), London, UK: ISTE, ISBN 978-1-905209-65-1, pp. 363-392, Jan. 2007.  (abstractbibtextech. rep. (pdf))

  54. I. Necoara, E.C. Kerrigan, B. De Schutter, and T.J.J. van den Boom, "Worst-case optimal control of uncertain max-plus-linear systems," Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, California, pp. 6055-6060, Dec. 2006.  (abstractbibtextech. rep. (pdf))

  55. T.J.J. van den Boom, B. Heidergott, and B. De Schutter, "Complexity reduction in MPC for stochastic max-plus-linear discrete event systems by variability expansion: Extended report," Tech. rep. CSE02-016a, Control Systems Engineering, Fac. of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, 18 pp., Dec. 2006. A short version of this report has been published in Automatica, vol. 43, no. 6, pp. 1058-1063, June 2007.  (abstractbibtexreport (pdf))

  56. T.J.J. van den Boom and B. De Schutter, "Modelling and control of discrete event systems using switching max-plus-linear systems," Control Engineering Practice, vol. 14, no. 10, pp. 1199-1211, Oct. 2006.  (online paperabstractbibtextech. rep. (pdf))

  57. T.J.J. van den Boom and B. De Schutter, "Dynamic railway network management using switching max-plus-linear models," Proceedings of the 11th IFAC Symposium on Control in Transportation Systems, Delft, The Netherlands, pp. 343-348, Aug. 2006.  (online paperabstractbibtextech. rep. (pdf))

  58. G. Jiroveanu, R.K. Boel, and B. De Schutter, "Fault diagnosis for time Petri nets," Proceedings of the 8th International Workshop on Discrete Event Systems (WODES'06), Ann Arbor, Michigan, pp. 313-318, July 2006.  (abstractbibtextech. rep. (pdf))

  59. T.J.J. van den Boom and B. De Schutter, "MPC of implicit switching max-plus-linear discrete event systems - Timing aspects," Proceedings of the 8th International Workshop on Discrete Event Systems (WODES'06), Ann Arbor, Michigan, pp. 457-462, July 2006.  (abstractbibtextech. rep. (pdf))

  60. G. Jiroveanu, B. De Schutter, and R.K. Boel, "On-line diagnosis for time Petri nets," Proceedings of the 17th International Workshop on Principles of Diagnosis (DX-06), Burgos, Spain, 8 pp., June 2006.  (abstractbibtextech. rep. (pdf))

  61. I. Necoara, B. De Schutter, T.J.J. van den Boom, and J. Hellendoorn, "Stable receding horizon control for max-plus-linear systems," Proceedings of the 2006 American Control Conference, Minneapolis, Minnesota, pp. 4055-4060, June 2006.  (abstractbibtextech. rep. (pdf))

  62. I. Necoara, T.J.J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control - The unconstrained case," Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006.  (online paperabstractbibtextech. rep. (pdf))

  63. G. Schullerus, V. Krebs, B. De Schutter, and T. van den Boom, "Input signal design for identification of max-plus-linear systems," Automatica, vol. 42, no. 6, pp. 937-943, June 2006.  (online paperabstractbibtextech. rep. (pdf))

  64. I. Necoara, T.J.J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control: The unconstrained case - Extended report," Tech. rep. 06-007a, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 16 pp., Apr. 2006. A short version of this report has been published in the Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006.  (abstractbibtexreport (pdf))

  65. T.J.J. van den Boom, B. De Schutter, and I. Necoara, "On MPC for max-plus-linear systems: Analytic solution and stability," Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 (CDC-ECC'05), Seville, Spain, pp. 7816-7821, Dec. 2005.  (abstractbibtextech. rep. (pdf))

  66. T.J.J. van den Boom and B. De Schutter, "MPC for max-plus-linear systems with guaranteed stability," Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, pp. 1-6, July 2005.  (online paperabstractbibtextech. rep. (pdf))

  67. T.J.J. van den Boom and B. De Schutter, "Modelling and control of discrete event systems using switching max-plus-linear systems," Proceedings of the 7th International Workshop on Discrete Event Systems (WODES'04), Reims, France, pp. 115-120, Sept. 2004.  (abstractbibtextech. rep. (pdf))

  68. B. De Schutter and T.J.J. van den Boom, "Model predictive control for discrete-event and hybrid systems - Part I: Discrete-event systems," Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), Leuven, Belgium, 10 pp., July 2004. Paper 312.  (abstractbibtextech. rep. (pdf))

  69. B. De Schutter and T.J.J. van den Boom, "Model predictive control for discrete-event and hybrid systems - Part II: Hybrid systems," Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004), Leuven, Belgium, 10 pp., July 2004. Paper 313.  (abstractbibtextech. rep. (pdf))

  70. T. van den Boom and B. De Schutter, "Modeling and control of railway networks," Proceedings of the 2004 American Control Conference, Boston, Massachusetts, pp. 5728-5733, June-July 2004.  (abstractbibtextech. rep. (pdf))

  71. T.J.J. van den Boom, B. De Schutter, G. Schullerus, and V. Krebs, "Adaptive model predictive control for max-plus-linear discrete event input-output systems," IEE Proceedings - Control Theory and Applications, vol. 151, no. 3, pp. 339-346, May 2004.  (online paperabstractbibtextech. rep. (pdf))

  72. T.J.J. van den Boom and B. De Schutter, "Model predictive control for perturbed max-plus-linear systems: A stochastic approach," International Journal of Control, vol. 77, no. 3, pp. 302-309, Feb. 2004.  (online paperabstractbibtextech. rep. (pdf))

  73. G. Schullerus, V. Krebs, B. De Schutter, and T. van den Boom, "Optimal input signal design for identification of max-plus-linear systems," Proceedings of the 2003 European Control Conference (ECC'03), Cambridge, UK, 6 pp., Sept. 2003. Paper 026.  (abstractbibtextech. rep. (pdf))

  74. T.J.J. van den Boom, B. De Schutter, and V. Verdult, "Identification of stochastic max-plus-linear systems," Proceedings of the 2003 European Control Conference (ECC'03), Cambridge, UK, 6 pp., Sept. 2003. Paper 104.  (abstractbibtextech. rep. (pdf))

  75. B. De Schutter and T.J.J. van den Boom, "Model predictive control for discrete-event and hybrid systems," Tech. rep. 03-012, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 16 pp., Aug. 2003. Paper for the Workshop on Nonlinear Predictive Control (Workshop S-5) at the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, Dec. 2003.  (abstractbibtexreport (pdf))

  76. T.J.J. van den Boom, B. De Schutter, G. Schullerus, and V. Krebs, "Adaptive model predictive control using max-plus-linear input-output models," Proceedings of the 2003 American Control Conference, Denver, Colorado, pp. 933-938, June 2003.  (abstractbibtextech. rep. (pdf))

  77. B. De Schutter and T.J.J. van den Boom, "MPC for discrete-event systems with soft and hard synchronisation constraints," International Journal of Control, vol. 76, no. 1, pp. 82-94, Jan. 2003.  (online paperabstractbibtextech. rep. (pdf))

  78. B. De Schutter, T.J.J. van den Boom, and V. Verdult, "State space identification of max-plus-linear discrete event systems from input-output data," Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, pp. 4024-4029, Dec. 2002.  (abstractbibtextech. rep. (pdf))

  79. T.J.J. van den Boom, B. De Schutter, and B. Heidergott, "Complexity reduction in MPC for stochastic max-plus-linear systems by variability expansion," Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, pp. 3567-3572, Dec. 2002.  (abstractbibtextech. rep. (pdf))

  80. B. De Schutter and T.J.J. van den Boom, "Model predictive control for max-min-plus-scaling systems - Efficient implementation," Proceedings of the 6th International Workshop on Discrete Event Systems (WODES'02) (M. Silva, A. Giua, and J.M. Colom, eds.), Zaragoza, Spain, pp. 343-348, Oct. 2002.  (abstractbibtextech. rep. (pdf))

  81. T.J.J. van den Boom and B. De Schutter, "Model predictive control for perturbed max-plus-linear systems," Systems & Control Letters, vol. 45, no. 1, pp. 21-33, Jan. 2002.  (online paperabstractbibtextech. rep. (pdf))

  82. B. De Schutter and B. De Moor, "The QR decomposition and the singular value decomposition in the symmetrized max-plus algebra revisited," SIAM Review, vol. 44, no. 3, pp. 417-454, 2002.  (online paperabstractbibtextech. rep. (pdf))

  83. T. van den Boom and B. De Schutter, "Properties of MPC for max-plus-linear systems," European Journal of Control, vol. 8, no. 5, pp. 453-462, 2002.  (online paperabstractbibtextech. rep. (pdf))

  84. T.J.J. van den Boom and B. De Schutter, "Model predictive control for perturbed max-plus-linear systems: A stochastic approach," Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, pp. 4535-4540, Dec. 2001.  (abstractbibtextech. rep. (pdf))

  85. T.J.J. van den Boom and B. De Schutter, "MPC for perturbed max-plus-linear systems," Proceedings of the European Control Conference 2001 (ECC'01), Porto, Portugal, pp. 3783-3788, Sept. 2001.  (abstractbibtextech. rep. (pdf))

  86. B. De Schutter and T. van den Boom, "Model predictive control for discrete-event systems with soft and hard synchronization constraints," Proceedings of the Workshop on Max-Plus Algebras and Their Applications to Discrete-Event Systems, Theoretical Computer Science, and Optimization, Prague, Czech Republic, 6 pp., Aug. 2001.  (abstractbibtextech. rep. (pdf))

  87. B. De Schutter and T. van den Boom, "Model predictive control for max-plus-linear discrete event systems," Automatica, vol. 37, no. 7, pp. 1049-1056, July 2001.  (online paperabstractbibtextech. rep. (pdf))

  88. B. De Schutter and T. van den Boom, "Model predictive control for railway networks," Proceedings of the 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM'01), Como, Italy, pp. 105-110, July 2001.  (abstractbibtextech. rep. (pdf))

  89. B. De Schutter and T.J.J. van den Boom, "Model predictive control for max-min-plus-scaling systems," Proceedings of the 2001 American Control Conference, Arlington, Virginia, pp. 319-324, June 2001.  (abstractbibtextech. rep. (pdf))

  90. T. van den Boom and B. De Schutter, "MPC for max-plus-linear systems: Closed-loop behavior and tuning," Proceedings of the 2001 American Control Conference, Arlington, Virginia, pp. 325-330, June 2001.  (abstractbibtextech. rep. (pdf))

  91. B. De Schutter and T. van den Boom, "Model predictive control for max-plus-linear discrete-event systems: Extended report & Addendum," Tech. rep. bds:99-10a, Control Systems Engineering, Fac. of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, 27 pp., Nov. 2000. A short version of this report has been published in Automatica, vol. 37, no. 7, pp. 1049-1056, July 2001.  (abstractbibtexreport (pdf))

  92. T. van den Boom and B. De Schutter, "MPC for max-plus-linear systems: Closed-loop behavior and tuning," Proceedings of the Workshop on Systems with Time-Domain Constraints, Eindhoven, The Netherlands, 18 pp., Aug.-Sept. 2000.  (abstractbibtextech. rep. (pdf))

  93. B. De Schutter and T. van den Boom, "Model predictive control for max-plus-linear systems," Proceedings of the 2000 American Control Conference, Chicago, Illinois, pp. 4046-4050, June 2000.  (abstractbibtextech. rep. (pdf))

  94. B. De Schutter and T. van den Boom, "On model predictive control for max-min-plus-scaling discrete event systems," Tech. rep. bds:00-04, Control Systems Engineering, Fac. of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands, 19 pp., June 2000.  (abstractbibtexreport (pdf))

  95. B. De Schutter, "On the ultimate behavior of the sequence of consecutive powers of a matrix in the max-plus algebra," Linear Algebra and Its Applications, vol. 307, no. 1-3, pp. 103-117, Mar. 2000.  (online paperabstractbibtextech. rep. (pdf))

  96. B. De Schutter and T. van den Boom, "Model predictive control for max-min-plus systems," in Discrete Event Systems: Analysis and Control (Proceedings of the 5th International Workshop on Discrete Event Systems (WODES2000), Ghent, Belgium, Aug. 2000) (R. Boel and G. Stremersch, eds.), vol. 569 of The Kluwer International Series in Engineering and Computer Science, Boston, Massachusetts: Kluwer Academic Publishers, ISBN 0-7923-7897-0, pp. 201-208, 2000.  (abstractbibtextech. rep. (pdf))

  97. B. De Schutter, "Upper bounds for the index of cyclicity of a matrix," Tech. rep. 98-32, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 16 pp., July 1999. Revised version.  (abstractbibtexreport (pdf))

  98. B. De Schutter and B. De Moor, "On the sequence of consecutive matrix powers of boolean matrices in the max-plus algebra," in Theory and Practice of Control and Systems (Proceedings of the 6th IEEE Mediterranean Conference on Control and Systems, Alghero, Italy, June 1998) (A. Tornambè, G. Conte, and A.M. Perdon, eds.), Singapore: World Scientific, ISBN 981-02-3668-9, pp. 672-677, 1999.  (abstractbibtextech. rep. (pdf))

  99. B. De Schutter and B. De Moor, "On the sequence of consecutive powers of a matrix in a Boolean algebra," SIAM Journal on Matrix Analysis and Applications, vol. 21, no. 1, pp. 328-354, 1999.  (online paperabstractbibtextech. rep. (pdf))

  100. G.J. Olsder and B. De Schutter, "The minimal realization problem in the max-plus algebra," Chapter 32 in Open Problems in Mathematical Systems and Control Theory (V.D. Blondel, E.D. Sontag, M. Vidyasagar, and J.C. Willems, eds.), London, UK: Springer, ISBN 1-85233-044-9, pp. 157-162, 1999.  (online versionabstractbibtextech. rep. (pdf))

  101. B. De Schutter, V. Blondel, R. de Vries, and B. De Moor, "On the boolean minimal realization problem in the max-plus algebra," Systems & Control Letters, vol. 35, no. 2, pp. 69-78, Sept. 1998.  (online paperabstractbibtextech. rep. (pdf))

  102. B. De Schutter and B. De Moor, "On the boolean minimal realization problem in the max-plus algebra," Proceedings of the 4th International Workshop on Discrete Event Systems (WODES'98), Cagliari, Italy, pp. 231-236, Aug. 1998.  (abstractbibtextech. rep. (pdf))

  103. R. de Vries, B. De Schutter, and B. De Moor, "On max-algebraic models for transportation networks," Proceedings of the 4th International Workshop on Discrete Event Systems (WODES'98), Cagliari, Italy, pp. 457-462, Aug. 1998.  (abstractbibtextech. rep. (pdf))

  104. R. de Vries, B. De Schutter, and B. De Moor, "Minimal realizations and state space transformations in the symmetrized max-algebra," Proceedings of the IFAC Conference on System Structure and Control (SSC'98), Nantes, France, pp. 587-592, July 1998.  (abstractbibtextech. rep. (pdf))

  105. B. De Schutter and B. De Moor, "The QR decomposition and the singular value decomposition in the symmetrized max-plus algebra," SIAM Journal on Matrix Analysis and Applications, vol. 19, no. 2, pp. 378-406, Apr. 1998.  (online paperabstractbibtextech. rep. (pdf))

  106. B. De Schutter, V. Blondel, and B. De Moor, "On the complexity of the boolean minimal realization problem in the max-plus algebra," Advances in Systems, Signals, Control and Computers (Proceedings of the International Conference on Systems, Signals, Control, Computers (SSCC'98), Durban, South Africa, Sept. 1998) (V.B. Bajic, ed.), vol. II, pp. 451-455, 1998.  (abstractbibtextech. rep. (pdf))

  107. B. De Schutter, R. de Vries, and G.J. Olsder, "The minimal realization problem in the max-plus algebra: An overview," Tech. rep. 97-107, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 7 pp., Dec. 1997.  (abstractbibtexreport (pdf))

  108. R. de Vries, B. De Schutter, and B. De Moor, "Minimal realizations and state space transformations in the symmetrized max-algebra," Tech. rep. 97-84, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 21 pp., Dec. 1997.  (abstractbibtexreport (pdf))

  109. B. De Schutter, V. Blondel, R. de Vries, and B. De Moor, "On the boolean minimal realization problem in the max-plus algebra: Addendum," Tech. rep. 97-68a, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 5 pp., Dec. 1997.  (abstractbibtexreport (pdf))

  110. B. De Schutter and B. De Moor, "A note on the characteristic equation in the max-plus algebra," Linear Algebra and Its Applications, vol. 261, no. 1-3, pp. 237-250, Aug. 1997.  (online paperabstractbibtextech. rep. (pdf))

  111. B. De Schutter and B. De Moor, "The extended linear complementarity problem and its applications in the analysis and control of discrete event systems and hybrid systems," Proceedings of the IEEE Singapore International Symposium on Control Theory and Applications (SISCTA'97), Singapore, pp. 394-398, July 1997.  (abstractbibtextech. rep. (pdf))

  112. B. De Schutter and B. De Moor, "The QR decomposition and the singular value decomposition in the symmetrized max-plus algebra," Proceedings of the European Control Conference (ECC'97), Brussels, Belgium, 6 pp., July 1997. Paper 295/TH-E K6.  (abstractbibtextech. rep. (pdf))

  113. B. De Schutter and B. De Moor, "Matrix factorization and minimal state space realization in the max-plus algebra," Proceedings of the 1997 American Control Conference, Albuquerque, New Mexico, pp. 3136-3140, June 1997.  (abstractbibtextech. rep. (pdf))

  114. B. De Schutter and B. De Moor, "The singular value decomposition in the extended max algebra," Linear Algebra and Its Applications, vol. 250, pp. 143-176, Jan. 1997.  (online paperabstractbibtextech. rep. (pdf))

  115. B. De Schutter and B. De Moor, "Generalized linear complementarity problems and the analysis of continuously variable systems and discrete event systems," in Hybrid and Real-Time Systems (Proceedings of the International Workshop on Hybrid and Real-Time Systems (HART'97), Grenoble, France, Mar. 1997) (O. Maler, ed.), vol. 1201 of Lecture Notes in Computer Science, Springer, ISBN 3-540-62600-X, pp. 409-414, 1997.  (online paperabstractbibtextech. rep. (pdf))

  116. B. De Schutter and B. De Moor, "The extended linear complementarity problem and its applications in the max-plus algebra," in Complementarity and Variational Problems: State of the Art (M.C. Ferris and J.S. Pang, eds.), Philadelphia, Pennsylvania: SIAM, ISBN 0-89871-391-9, pp. 22-39, 1997.  (abstractbibtextech. rep. (pdf))

  117. B. De Schutter and B. De Moor, "Applications of the extended linear complementarity problem in the max-plus algebra," Proceedings of the International Workshop on Discrete Event Systems (WODES'96), Edinburgh, UK, pp. 69-74, Aug. 1996.  (abstractbibtextech. rep. (pdf))

  118. B. De Schutter and B. De Moor, "A method to find all solutions of a system of multivariate polynomial equalities and inequalities in the max algebra," Discrete Event Dynamic Systems: Theory and Applications, vol. 6, no. 2, pp. 115-138, Mar. 1996.  (online paperabstractbibtextech. rep. (pdf))

  119. B. De Schutter, Errata for the PhD thesis of Bart De Schutter "Max-Algebraic System Theory for Discrete Event Systems". Last update: November 30, 2008.  (text (pdf))

  120. B. De Schutter, Max-Algebraic System Theory for Discrete Event Systems. PhD thesis, Faculty of Applied Sciences, K.U.Leuven, Leuven, Belgium, ISBN 90-5682-016-8, 331 pp., Feb. 1996.  (abstractbibtextext (pdf))

  121. L. Ben-Naoum, R. Boel, L. Bongaerts, B. De Schutter, Y. Peng, P. Valckenaers, J. Vandewalle, and V. Wertz, "Methodologies for discrete event dynamic systems: A survey," Journal A, vol. 36, no. 4, pp. 3-14, Dec. 1995.  (abstractbibtextech. rep. (pdf))

  122. B. De Schutter and B. De Moor, "State space transformations and state space realization in the max algebra," Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, Louisiana, pp. 891-896, Dec. 1995.  (abstractbibtextech. rep. (pdf))

  123. B. De Schutter and B. De Moor, "Minimal state space realization of MIMO systems in the max algebra," Proceedings of the 3rd European Control Conference (ECC'95), Rome, Italy, pp. 411-416, Sept. 1995.  (abstractbibtextech. rep. (pdf))

  124. B. De Schutter and B. De Moor, "Minimal realization in the max algebra is an extended linear complementarity problem," Systems & Control Letters, vol. 25, no. 2, pp. 103-111, May 1995.  (online paperabstractbibtextech. rep. (pdf))

  125. B. De Schutter and B. De Moor, "On state space realizations of impulse responses of max-linear systems," Tech. rep. 95-13, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 16 pp., Mar. 1995.  (abstractbibtexreport (pdf))

  126. B. De Schutter and B. De Moor, "The singular value decomposition in the extended max algebra is an extended linear complementarity problem," Tech. rep. 95-07, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 27 pp., Mar. 1995.  (abstractbibtexreport (pdf))

  127. B. De Schutter and B. De Moor, "The singular value decomposition and the QR decomposition in the extended max algebra," Tech. rep. 95-06, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 27 pp., Mar. 1995.  (abstractbibtexreport (pdf))

  128. B. De Schutter and B. De Moor, "Minimal realization in the max algebra," Tech. rep. 94-29, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 29 pp., May 1994.  (abstractbibtexreport (pdf))

  129. B. De Schutter and B. De Moor, "The characteristic equation and minimal state space realization of SISO systems in the max algebra," in 11th International Conference on Analysis and Optimization of Systems (Sophia-Antipolis, France, June 1994) (G. Cohen and J.P. Quadrat, eds.), vol. 199 of Lecture Notes in Control and Information Sciences, Springer, ISBN 3-540-19896-2, pp. 273-282, 1994.  (online paperabstractbibtextech. rep. (pdf))

  130. B. De Schutter and B. De Moor, "Minimal realization in the max algebra is an extended linear complementarity problem," Tech. rep. 93-70, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 18 pp., Dec. 1993.  (abstractbibtexreport (pdf))

  131. B. De Schutter and B. De Moor, "Minimal state space realization of SISO systems in the max algebra," Tech. rep. 93-57, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 31 pp., Oct. 1993.  (abstractbibtexreport (pdf))



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