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.
Randomly switching max-plus-linear (RSMPL) systems are discrete event systems that can switch between different modes of operation, where the switching is a stochastic process. In each mode the system is described by a max-plus-linear state equation and a max-plus-linear output equation, with different system matrices for each mode. We discuss conditions for stability and derive a stabilizing model predictive controller for RSMPL systems.