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Stability analysis for switched discrete-time linear singular systems

Pham Ky Anh, Pham Thi Linh, Do Duc Thuan & Trenn, S., Sep-2020, In : Automatica. 119, 9 p., 109100.

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  • Stability analysis for switched discrete-time linear singular systems

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DOI

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
Publication statusPublished - Sep-2020

    Keywords

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

ID: 133408907