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

Sirada Pinjai | Zendy; Kanit Mukdasai | Zendy

Open Access

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

Author(s) -

Sirada Pinjai,

Kanit Mukdasai

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/268905

Subject(s) - mathematics , nonlinear system , exponential stability , linear matrix inequality , weighting , stability (learning theory) , exponential function , matrix (chemical analysis) , cauchy distribution , control theory (sociology) , mathematical analysis , mathematical optimization , computer science , medicine , physics , materials science , control (management) , quantum mechanics , machine learning , artificial intelligence , composite material , radiology

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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