Tuesday , October 23 2018

Delay Dependent Robust Exponential Stability Criterion for Perturbed and Uncertain Neutral Systems with Time Varying Delays

Issam AMRI
Unit research LA.R.A., Ecole Nationale d’Ingnieurs de Tunis
ENIT, BP 37, 1002 Tunis, Tunisia

Dhaou SOUDANI
Unit research LA.R.A., Ecole Nationale d’Ingnieurs de Tunis
ENIT, BP 37, 1002 Tunis, Tunisia

Mohamed BENREJEB 
Unit research LA.R.A., Ecole Nationale d’Ingnieurs de Tunis
ENIT, BP 37, 1002 Tunis, Tunisia

Abstract: This paper deals with the issue of robust exponential stability of uncertain neutral system with time varying delay and nonlinear perturbations. Using Lyapunov-Krasovskii functional, new sufficient delay dependent stability conditions have been derived in terms of Linear Matrix Inequalities LMIs solved using efficient convex optimization algorithms. Neither model transformation, nor estimating techniques for cross terms, nor free weighting matrices are involved in this work. Numerical examples are considered to show the efficiency of the proposed stability approach.

Keywords: Uncertain neutral systems; Time varying delays; Nonlinear perturbations; Exponential stability; Delay dependent stability; Linear matrix inequality

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CITE THIS PAPER AS:
Isaam AMRI, Dhaou SOUDANI, Mohamed BENREJEB, Delay Dependent Robust Exponential Stability Criterion for Perturbed and Uncertain Neutral Systems with Time Varying Delays, Studies in Informatics and Control, ISSN 1220-1766, vol. 19 (2), pp. 135-144, 2010.