Title :
Stability analysis of nonlinear systems via piecewise linear Lyapunov functions
Author :
Ohta, Yuzo ; Yamamoto, Kenichiro
Author_Institution :
Dept. of Comput. & Syst. Eng., Kobe Univ., Japan
Abstract :
This paper addresses the issue of constructing piecewise linear Lyapunov functions (PWLLF) for nonlinear systems satisfying the generalized sector condition, which is a generalization of the polytopic uncertainty. The main result of this paper is to propose a fast method to solving linear programming problems (LPs) which appear repeatedly in constructing PWLLF. The method uses a special structure of LPs which appear in constructing PWLLF
Keywords :
Lyapunov methods; linear programming; nonlinear control systems; piecewise linear techniques; stability; PWLLF; generalized sector condition; linear programming problems; nonlinear systems; piecewise linear Lyapunov functions; polytopic uncertainty; stability analysis; Ear; Linear matrix inequalities; Linear programming; Lyapunov method; Nonlinear systems; Piecewise linear techniques; Programming profession; Stability analysis; Systems engineering and theory; Uncertainty;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856295
