Piecewise polynomial Lyapunov functions for a class of switched nonlinear systems

Author

Coutinho, Daniel F. ; Trofino, Alexandre

Author_Institution

Dept. Electr. Eng., PUCRS, Porto Alegre, RS, Brazil

Volume

4

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

4265

Abstract

This paper proposes sufficient conditions to the regional stability analysis of switched nonlinear systems with time-varying parameters. The nonlinear sub-modes of operation are described by means of differential-algebraic equations involving the state and an auxiliary nonlinear vector. We then use piecewise polynomial Lyapunov functions and a relaxation technique that lead to a convex characterization of the problem in terms of linear matrix inequalities.

Keywords

Lyapunov methods; differential equations; linear matrix inequalities; nonlinear systems; piecewise polynomial techniques; stability; time-varying systems; LMI; convex characterization; differential-algebraic equations; linear matrix inequalities; nonlinear submodes; nonlinear vector; piecewise polynomial Lyapunov functions; relaxation technique; stability analysis; state vector; sufficient conditions; switched nonlinear systems; time varying parameters; Differential equations; Linear matrix inequalities; Lyapunov method; Nonlinear equations; Nonlinear systems; Polynomials; Stability analysis; Sufficient conditions; Time varying systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1271820

Filename

1271820