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 entry:

@inproceedings{Marvan:24-013,
        author={S. Markkassery and T. van den Boom and B. {D}e Schutter},
        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},
        doi={10.1016/j.ifacol.2024.07.011}
        }


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