Title :
On stability domain estimation via a quadratic Lyapunov function: convexity and optimality properties for polynomial systems
Author :
Tesi, Alberto ; Villoresi, Francesca ; Genesio, Roberto
Author_Institution :
Dipartimento di Sistemi e Inf., Firenze Univ., Italy
Abstract :
The problem of estimating the stability domain of the origin of an n-order polynomial system is considered. Exploiting the structure of this class of systems it is shown that, for a given quadratic Lyapunov function, an estimate of the stability domain can be obtained by solving a suitable convex optimization problem. This estimate is shown to be optimal for an important subclass including both quadratic and cubic systems and its accuracy in the general polynomial case is discussed via several examples
Keywords :
Lyapunov methods; polynomials; stability criteria; convex optimization problem; cubic systems; optimality properties; polynomial systems; quadratic Lyapunov function; quadratic systems; stability domain estimation; Asymptotic stability; Control system analysis; Control systems; Embedded computing; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Stability analysis; Sufficient conditions;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411100
