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. 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.  (abstract,  bibtex,  report (pdf))

  2. 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.  (abstract,  bibtex,  report (pdf))

  3. 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-Verlag, ISBN 3-540-19896-2, pp. 273-282, 1994.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  4. 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.  (abstract,  bibtex,  report (pdf))

  5. 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.  (abstract,  bibtex,  report (pdf))

  6. 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.  (abstract,  bibtex,  report (pdf))

  7. 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.  (abstract,  bibtex,  report (pdf))

  8. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  9. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  10. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  11. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  12. 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.  (abstract,  bibtex,  text (pdf))

  13. 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))

  14. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  15. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  16. 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-Verlag, ISBN 3-540-62600-X, pp. 409-414, 1997.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  17. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  18. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  19. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  20. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  21. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  22. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  23. 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.  (abstract,  bibtex,  report (pdf))

  24. 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.  (abstract,  bibtex,  report (pdf))

  25. 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.  (abstract,  bibtex,  report (pdf))

  26. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  27. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  28. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  29. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  30. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  31. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  32. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  33. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  34. 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-Verlag, ISBN 1-85233-044-9, pp. 157-162, 1999.  (abstract,  bibtex,  tech. rep. (pdf))

  35. 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.  (abstract,  bibtex,  report (pdf))

  36. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  37. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  38. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  39. 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.  (abstract,  bibtex,  report (pdf))

  40. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  41. 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.  (abstract,  bibtex,  report (pdf))

  42. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  43. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  44. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  45. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  46. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  47. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  48. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  49. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  50. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  51. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  52. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  53. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  54. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  55. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  56. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  57. 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.  (abstract,  bibtex,  report (pdf))

  58. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  59. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  60. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  61. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  62. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  63. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  64. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  65. 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.  (abstract,  bibtex,  tech. 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, 6 pp., July 2005. Paper 2342 / Mo-E12-TO/1.  (abstract,  bibtex,  tech. rep. (pdf))

  67. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  68. 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.  (abstract,  bibtex,  report (pdf))

  69. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  70. I. Necoara, B. De Schutter, T.J.J. van den Boom, and H. Hellendoorn, "Robust control of constrained max-plus-linear systems," Tech. rep. 06-024, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 22 pp., June 2006. Accepted for publication in International Journal of Robust and Nonlinear Control.  (online paper,  bibtex)

  71. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  72. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  73. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  74. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  75. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  76. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  77. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  78. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  79. 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.  (abstract,  bibtex,  report (pdf))

  80. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  81. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  82. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  83. 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.  (abstract,  bibtex,  tech. rep. (pdf))

  84. 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.  (abstract,  online paper,  bibtex,  tech. rep. (pdf))

  85. 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.), Springer Optimization and Its Applications, New York, New York: Springer, ISBN 978-0-387-77246-2, pp. 541-570, 2008.  (abstract,  online version,  bibtex)

  86. 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.  (abstract,  online paper,  bibtex)

  87. 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.  (abstract,  bibtex)

  88. 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 paper,  bibtex)

  89. 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.  (bibtex)

  90. 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.  (bibtex)


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This page is maintained by Bart De Schutter. Last update: January 4, 2009.