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
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;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15385
