DocumentCode
2514903
Title
A construction method of Lyapunov functions for piecewise-linear systems
Author
Nakamura, Akira ; Hamada, Nozomu
Author_Institution
Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan
fYear
1988
fDate
7-9 June 1988
Firstpage
2217
Abstract
The authors propose a Lyapunov-function construction method, giving the asymptotic stability region of a piecewise-linear (PWL) dynamical system. Lyapunov functions are constructed by connecting quadratic functions on each divided region, so that the computational tasks to obtain the asymptotic stability region are simplified. Also given is a simple condition according to which the asymptotic stability region of the PWL system is included in that of original nonlinear system.<>
Keywords
Lyapunov methods; nonlinear systems; piecewise-linear techniques; stability; Lyapunov-function construction method; asymptotic stability region; connecting quadratic functions; piecewise-linear systems; Asymptotic stability; Control systems; Equations; Gradient methods; Joining processes; Lyapunov method; Nonlinear control systems; Piecewise linear techniques; State feedback; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location
Espoo, Finland
Type
conf
DOI
10.1109/ISCAS.1988.15385
Filename
15385
Link To Document