An Approach of Asymptotic Stability Domain Estimation of Discrete Polynomial Systems

Author

Bacha, Anis ; Jerbi, Houssem ; Braiek, Naceur Benhadj

Author_Institution

Lab. d´´Etude et de Commande Automatique des Processus, Ecole polytechnique de Tunisie, La Marsa

Volume

1

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

288

Lastpage

292

Abstract

We present a new approach of estimating the asymptotic stability region for nonlinear polynomial discrete systems. This approach is based on the reversing trajectory principle. An approximate reverse system is proposed for polynomial discrete models, and the application of the backward iteration on this system performed from the boundary of an initial estimated domain of stability leads to a large region of asymptotic stability. The proposed approach has been tested on the known Vander-Pool model, and then applied for a discrete synchronous generator system

Keywords

asymptotic stability; discrete systems; estimation theory; nonlinear systems; polynomials; Kronecker product; Vander-Pool model; approximate reverse system; asymptotic stability domain estimation; backward iteration; discrete polynomial systems; discrete synchronous generator system; nonlinear discrete systems; nonlinear polynomial discrete systems; polynomial discrete models; reversing trajectory principle; Asymptotic stability; Lab-on-a-chip; Linear systems; Nonlinear equations; Nonlinear systems; Oscillators; Polynomials; Synchronous generators; System testing; Systems engineering and theory; Kronecker product; Nonlinear discrete systems; asymptotic stability region; reversing trajectory method;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Engineering in Systems Applications, IMACS Multiconference on

Conference_Location

Beijing

Print_ISBN

7-302-13922-9

Electronic_ISBN

7-900718-14-1

Type

conf

DOI

10.1109/CESA.2006.4281665

Filename

4281665