DocumentCode
2230737
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
Volume
2
fYear
2000
fDate
2000
Firstpage
208
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ISCAS.2000.856295
Filename
856295
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