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

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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.

Original languageEnglish
Pages (from-to)60-65
Number of pages6
JournalIFAC-PapersOnline
Volume58
Issue number1
DOIs
Publication statusPublished - 2024
Event17th IFAC Workshop on Discrete Event Systems, WODES 2024 - Rio de Janeiro, Brazil
Duration: 29 Apr 20241 May 2024

Keywords

  • Discrete-event systems
  • max-min-plus-scaling systems
  • modelling and stability

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