Finite-time stability of switched linear systems with subsystems which are not finite-time stable

Author

Lin Xiangze ; Li Xueling ; Li Shihua ; Zou Yun

Author_Institution

Coll. of Eng., Nanjing Agric. Univ., Nanjing, China

fYear

2013

Firstpage

1348

Lastpage

1353

Abstract

Up to now, the potential assumption of most existing results for finite-time stability of switched linear systems is that each subsystem should be finite-time stable. If one subsystem of the switched systems is not finite-time stable, the previous results may fail. In this paper, finite-time stability of switched linear systems with subsystems that are not finite-time stable is discussed. Sufficient conditions are given under which switched linear systems with subsystems that are not finite-time stable are guaranteed to be finite-time stable. The results also show the effect of the switching signals on finite-time stability of switched linear systems. An numerical example is employed to verify the efficiency of the proposed method.

Keywords

differential equations; linear systems; stability; time-varying systems; difference equations; differential equations; finite-time stability; sufficient conditions; switched linear systems; switching signals; Asymptotic stability; Educational institutions; Linear systems; Numerical stability; Stability analysis; Switched systems; Switches; Finite-time Stability; Finite-time Unstable Subsystems; Switched Linear Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639636