Stability of Time-invariant Max-Min-Plus-Scaling Discrete-Event Systems with Diverse States

Reference

S. Markkassery, T. van den Boom, and B. De Schutter, "Stability of time-invariant max-min-plus-scaling discrete-event systems with diverse states," Proceedings of the 17th IFAC Workshop on Discrete Event Systems (WODES 2024), Rio de Janeiro, Brazil, pp. 60-65, Apr.-May 2024.

Abstract

In this paper, we discuss the stability of general time-invariant discrete-event systems modeled as max-min-plus-scaling (MMPS) systems. We analyze MMPS systems with two types of states: time states and quantity states. A set of linear programming problems are proposed to find the growth rates of the time states via a normalization of the MMPS system. Then a framework for stability analysis of the general time-invariant MMPS system is discussed with respect to the normalized system. The approach presented in this paper is an efficient way to study the stability of a general MMPS system.

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BibTeX

@inproceedings{Marvan:24-013,
   author    = {Markkassery, Sreeshma and van den Boom, Ton and De Schutter,
                Bart},
   title     = {Stability of Time-invariant Max-Min-Plus-Scaling Discrete-Event
                Systems with Diverse States},
   booktitle = {Proceedings of the 17th IFAC Workshop on Discrete Event Systems
                (WODES 2024)},
   address   = {Rio de Janeiro, Brazil},
   pages     = {60--65},
   month     = apr # {--} # may,
   year      = {2024}
   }

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