Stability analysis for switched systems with continuous-time and discrete-time subsystems: A lie algebraic approach

Guisheng Zhai, Derong Liu, Joe Imae, Tomoaki Kobayashi

Research output: Contribution to journalConference article

1 Citation (Scopus)


We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. A numerical example is provided to demonstrate the result.

Original languageEnglish
Article number1465304
Pages (from-to)3183-3186
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 2005 Dec 1
EventIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan
Duration: 2005 May 232005 May 26


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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