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: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

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
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
Pages3183-3186
Number of pages4
DOIs
Publication statusPublished - 2005
Externally publishedYes
EventIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan
Duration: 2005 May 232005 May 26

Other

OtherIEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
CountryJapan
CityKobe
Period05/5/2305/5/26

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Algebra
Lyapunov functions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Zhai, G., Liu, D., Imae, J., & Kobayashi, T. (2005). Stability analysis for switched systems with continuous-time and discrete-time subsystems: A lie algebraic approach. In Proceedings - IEEE International Symposium on Circuits and Systems (pp. 3183-3186). [1465304] https://doi.org/10.1109/ISCAS.2005.1465304

Stability analysis for switched systems with continuous-time and discrete-time subsystems : A lie algebraic approach. / Zhai, Guisheng; Liu, Derong; Imae, Joe; Kobayashi, Tomoaki.

Proceedings - IEEE International Symposium on Circuits and Systems. 2005. p. 3183-3186 1465304.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhai, G, Liu, D, Imae, J & Kobayashi, T 2005, Stability analysis for switched systems with continuous-time and discrete-time subsystems: A lie algebraic approach. in Proceedings - IEEE International Symposium on Circuits and Systems., 1465304, pp. 3183-3186, IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005, Kobe, Japan, 05/5/23. https://doi.org/10.1109/ISCAS.2005.1465304
Zhai G, Liu D, Imae J, Kobayashi T. Stability analysis for switched systems with continuous-time and discrete-time subsystems: A lie algebraic approach. In Proceedings - IEEE International Symposium on Circuits and Systems. 2005. p. 3183-3186. 1465304 https://doi.org/10.1109/ISCAS.2005.1465304
Zhai, Guisheng ; Liu, Derong ; Imae, Joe ; Kobayashi, Tomoaki. / Stability analysis for switched systems with continuous-time and discrete-time subsystems : A lie algebraic approach. Proceedings - IEEE International Symposium on Circuits and Systems. 2005. pp. 3183-3186
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