Title :
Estimation of asymptotic stability regions via homogeneous polynomial Lyapunov functions
Author :
Fujisaki, Yoshihide ; Sakuwa, Ryohei
Author_Institution :
Dept. of Comput. & Syst. Eng., Kobe Univ., Japan
Abstract :
Asymptotic stability regions of nonlinear dynamical systems are estimated by using homogeneous polynomial Lyapunov functions, which include quadratic Lyapunov functions as a special case. The nonlinear system is represented as a convex hull of some linear systems, and it is shown that the estimation can be formulated as an LMI optimization problem in an augmented state space.
Keywords :
Lyapunov methods; asymptotic stability; linear matrix inequalities; nonlinear dynamical systems; optimisation; polynomials; LMI optimization; asymptotic stability estimation; augmented state space; convex hull; homogeneous polynomial functions; linear systems; nonlinear dynamical systems; quadratic Lyapunov functions;
Conference_Titel :
SICE 2003 Annual Conference
Conference_Location :
Fukui, Japan
Print_ISBN :
0-7803-8352-4
