Stability analysis for a class of nonlinear switched systems

Author

Hu, Bo ; Xu, Xuping ; Michel, Anthony N. ; Antsaklis, Panos J.

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN, USA

Volume

5

fYear

1999

fDate

1999

Firstpage

4374

Abstract

In the present paper, we study several qualitative properties of a class of nonlinear switched systems under certain switching laws. First, we show that if all the subsystems are linear time-invariant and the system matrices are commutative componentwise and stable, then the entire switched system is globally exponentially stable under arbitrary switching laws. Next, we study the above linear switched systems with certain nonlinear perturbations, which can be either vanishing or nonvanishing. Under reasonable assumptions, global exponential stability is established for these systems. We further study the stability and instability properties, under certain switching laws, for switched systems with commutative subsystem matrices that may be unstable. Results for both continuous-time and discrete-time cases are presented

Keywords

asymptotic stability; control system analysis; large-scale systems; matrix algebra; nonlinear control systems; LTI subsystems; commutative componentwise system matrices; commutative subsystem matrices; continuous-time systems; discrete-time systems; global exponential stability; globally exponentially stable system; instability properties; linear switched systems; linear time-invariant subsystems; nonlinear switched systems; nonvanishing nonlinear perturbations; stability analysis; stable system matrices; vanishing nonlinear perturbations; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mathematics; Nonlinear control systems; Robust stability; Sampling methods; Stability analysis; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.833231

Filename

833231