A structural approach for computing stability domains of polynomial systems

Author

Genesio, Roberto ; Tesi, Alberto ; Villoresi, Francesca

Author_Institution

Dipartimento di Sistemi e Inf., Firenze Univ., Italy

fYear

1993

fDate

17-20 Oct 1993

Firstpage

80

Abstract

The problem of estimating the stability domain of the origin of an n-order polynomial system containing linear, quadratic and cubic terms 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 optimization problem which has the distinguished feature of being convex. The accuracy of the proposed method and its possible use in the available numerical procedures for estimating the stability domain are discussed via several examples

Keywords

nonlinear control systems; optimisation; polynomials; stability; cubic terms; linear terms; optimization problem; polynomial systems; quadratic Lyapunov function; quadratic terms; stability domains; structural approach; Asymptotic stability; Control system analysis; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Stability analysis; Symmetric matrices; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 1993. 'Systems Engineering in the Service of Humans', Conference Proceedings., International Conference on

Conference_Location

Le Touquet

Print_ISBN

0-7803-0911-1

Type

conf

DOI

10.1109/ICSMC.1993.384724

Filename

384724