Title :
Lyapunov stability analysis of higher-order 2-D systems
Author :
Kojima, Chiaki ; Rapisarda, Paolo ; Takaba, Kiyotsugu
Author_Institution :
Dept. of Inf. Phys. & Comput., Univ. of Tokyo, Tokyo, Japan
Abstract :
We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of Valcher. We also show how Lyapunov functionals can be computed solving a two-variable polynomial equation, and we give necessary and sufficient conditions for the solvability of this equation for scalar systems.
Keywords :
Lyapunov methods; asymptotic stability; bilinear systems; continuous time systems; discrete time systems; Lyapunov stability analysis; asymptotic stability; bilinear difference forms; continuous time systems; discrete time systems; higher order 2-D systems; quadratic difference forms; square autonomous 2-D behavior; Asymptotic stability; Circuit stability; Control systems; Electronic equipment testing; Equations; Lyapunov method; Physics; Polynomials; Stability analysis; Sufficient conditions;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399822
