Title: Backward iteration approaches for the stability domain estimation of discrete non-linear polynomial systems

Authors: Anis Bacha, Houssem Jerbi, Naceur Benhadj Braiek

Addresses: Laboratoire d'Etude et de Commande Automatique de Processus, Ecole Polytechnique de Tunisie, B.P. 743, LaMarsa 2078, Tunisia. ' Laboratoire d'Etude et de Commande Automatique de Processus, Ecole Polytechnique de Tunisie, B.P. 743, LaMarsa 2078, Tunisia. ' Laboratoire d'Etude et de Commande Automatique de Processus, Ecole Polytechnique de Tunisie, B.P. 743, LaMarsa 2078, Tunisia

Abstract: This paper deals with two evolutionary algorithms for calculating the asymptotic stability region for discrete non-linear polynomial systems. These algorithms rest on two new approaches of inverting discrete direct polynomial state equation. Based on some topological considerations, the systematic computational algorithms are then applied on the second-order polynomial model of a synchronous generator power system. Hence, a comparative study is presented to illustrate the benefits of the proposed algorithms so as to maximise the Region of Asymptotic Stability (RAS).

Keywords: discrete-time systems; nonlinear systems; polynomial systems; asymptotic stability; backward iteration; stability domain estimation; evolutionary algorithms; synchronous generator power systems.

DOI: 10.1504/IJMIC.2008.023516

International Journal of Modelling, Identification and Control, 2008 Vol.5 No.4, pp.313 - 319

Available online: 25 Feb 2009

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