Creator:

Zhai, Guisheng ; Xu, Xuping ; Lin, Hai ; Lui, Derong

Contributor:

Korbicz, Józef (1951- ) - red.

Title:

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

Group publication title:

AMCS, volume 17 (2007)

Subject and Keywords:

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

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. ; 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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2007

Resource Type:

artykuł

DOI:

10.2478/v10006-007-0036-x

Pages:

447-454

Source:

AMCS, volume 17, number 4 (2007) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego