Stability analysis for switched discrete-time linear singular systems

Pham Ky Anh, Pham Thi Linh, Do Duc Thuan, Stephan Trenn*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

The stability of arbitrarily switched discrete-time linear singular (SDLS) systems is studied. Our analysis builds on the recently introduced one-step-map for SDLS systems of index-1. We first provide a sufficient stability condition in terms of Lyapunov functions. Furthermore, we generalize the notion of joint spectral radius of a finite set of matrix pairs, which allows us to fully characterize exponential stability.

Original languageEnglish
Article number109100
Number of pages9
JournalAutomatica
Volume119
DOIs
Publication statusPublished - Sep-2020

Keywords

  • Switched singular systems
  • Index-1
  • Exponential stability
  • Joint spectral radius
  • Lyapunov functions
  • DESCRIPTOR SYSTEMS
  • EQUATIONS

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