New Delay‐Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations

Sirada Pinjai and Kanit Mukdasai

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/268905

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:268905

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