Global stability analysis of two-dimensional LTI switched systems with saddle points

Author

Liying Zhu

Author_Institution

Coll. of Math. Phys. & Inf. Eng., Zhejiang Normal Univ., Jinhua, China

fYear

2014

Firstpage

4669

Lastpage

4674

Abstract

This paper investigates globally asymptotical stability issues of two-dimensional linear time-invariant (LTI) switched systems with saddle points. Without resort to any general stability analyzing techniques or ideas based on any type of Lyapunov functions, this paper proposes a globally asymptotical stability (GAS) criterion for such kind of switched systems under arbitrary periodical/quasi-periodical switchings via the classical Lyapunov stability concept. A numerical example and its simulations illustrate the new stability result is correct and effective.

Keywords

Lyapunov methods; asymptotic stability; invariance; linear systems; periodic control; switching systems (control); GAS criterion; Lyapunov functions; Lyapunov stability; arbitrary periodical/quasiperiodical switchings; general stability analyzing techniques; global stability analysis; globally asymptotical stability; saddle points; two-dimensional LTI switched systems; two-dimensional linear time-invariant switched systems; Asymptotic stability; Numerical stability; Stability criteria; Switched systems; Switches; Trajectory; Switched systems; globally asymptotical stability; linear systems; periodical switching path; saddle point;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7053502

Filename

7053502