Extended lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems

• Autorzy: Guisheng Zhai , Xuping Xu , Hai Lin , Derong Liu
• Języki publikacji: EN

Abstrakty

EN

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. When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.

Słowa kluczowe

EN

exponential stability; switched systems; arbitrary switching dwell time scheme; Lie algebra; common quadratic Lyapunov functions

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 4
• Strony: 447-454

Daty

wydano

2007

(nieznana)

2006-12-15

otrzymano

2007-04-10

poprawiono

2007-10-20

Twórcy

autor

Guisheng Zhai

• Department of Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan

autor

Xuping Xu

• Department of Electrical and Computer Engineering, Penn State Erie, Erie, PA, USA

autor

Hai Lin

• Department of Electrical Engineering University of Notre Dame, Notre Dame, Indiana, USA

autor

Derong Liu

• Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL, USA

Bibliografia

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