A structural approach for computing stability domains of polynomial systems

A structural approach for computing stability domains of polynomial systems

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Genesio, R., Tesi, A., Villoresi, F.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Asymptotic stability
Control system analysis
Control systems
Lyapunov method
Nonlinear control systems
Nonlinear systems
Polynomials
Stability analysis
Symmetric matrices
Vectors
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.< >
DOI:10.1109/ICSMC.1993.384724