Title :
Quadratic stability of a class of switched nonlinear systems
Author :
Zhao, Jun ; Dimirovski, Georgi M.
Author_Institution :
Dept. of Electron. Eng., City Univ. of Hong Kong, Kowloon, China
fDate :
4/1/2004 12:00:00 AM
Abstract :
Quadratic stability of a class of switched nonlinear systems is studied in this note. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, we derive a necessary and sufficient condition for quadratic stability of this class of switched systems by using Karush-Kuhn-Tucker condition for nonlinear programming problems. The necessary and sufficient condition is given in terms of the strict completeness of a certain set of functions on a subset of the state space, which is much easier to check.
Keywords :
nonlinear control systems; nonlinear programming; stability; time-varying systems; Karush-Kuhn-Tucker condition; dynamic systems; function completeness; nonlinear programming; quadratic stability; state space; switched nonlinear systems; Automatic control; Control systems; Lyapunov method; Nonlinear systems; Power system dynamics; Quadratic programming; Stability; State-space methods; Sufficient conditions; Switched systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.825611
