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2013 New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
Sirada Pinjai, Kanit Mukdasai
J. Appl. Math. 2013: 1-18 (2013). DOI: 10.1155/2013/268905

Abstract

This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.

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Sirada Pinjai. Kanit Mukdasai. "New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations." J. Appl. Math. 2013 1 - 18, 2013. https://doi.org/10.1155/2013/268905

Information

Published: 2013
First available in Project Euclid: 14 March 2014

MathSciNet: MR3138984
zbMATH: 06950592
Digital Object Identifier: 10.1155/2013/268905

Rights: Copyright © 2013 Hindawi

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