Stability of Time-invariant Max-Min-Plus-Scaling Discrete-Event Systems with Diverse States
S. Markkassery (TU Delft - Team Ton van den Boom)
A.J.J. Van Den Boom (TU Delft - Team Ton van den Boom)
B De Schutter (TU Delft - Delft Center for Systems and Control)
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Abstract
In this paper, we discuss the stability of general time-invariant discrete-event systems modelled 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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