Title :
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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271820
