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Optimal control for $$(\max, +)$$-linear systems in the presence of disturbances. (English) Zbl 1059.93090
Benvenuti, Luca (ed.) et al., Positive systems. Proceedings of the first multidisciplinary international symposium on positive systems: Theory and applications (POSTA 2003), Rome, Italy, August 28–30, 2003. Berlin: Springer (ISBN 3-540-40342-6/pbk). Lecture Notes in Control and Information Sciences 294, 47-54 (2003).
Summary: This paper deals with control of $$(\max,+)$$-linear systems when a disturbance acts on the system state. In a first part we synthesize the greatest control which allows for matching the disturbance action. Then we look for an output feedback which makes the disturbance matching. Formally, this problem is very close to the disturbance decoupling problem for continuous linear systems.
For the entire collection see [Zbl 1031.93004].

##### MSC:
 93C65 Discrete event control/observation systems 93C73 Perturbations in control/observation systems