Improved Results on Robust Stability for Systems with Interval Time-Varying Delays and Nonlinear Perturbations | Zendy

Xin Zhou | Zendy; Hexin Zhang | Zendy; Xiaoxiang Hu | Zendy; Junjun Hui | Zendy; Tianmei Li | Zendy

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Improved Results on Robust Stability for Systems with Interval Time-Varying Delays and Nonlinear Perturbations

Author(s) -

Xin Zhou,

Hexin Zhang,

Xiaoxiang Hu,

Junjun Hui,

Tianmei Li

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/898260

Subject(s) - interval (graph theory) , equidistant , mathematics , weighting , stability (learning theory) , nonlinear system , control theory (sociology) , matrix (chemical analysis) , multiple integral , mathematical optimization , computer science , mathematical analysis , medicine , physics , geometry , control (management) , materials science , combinatorics , quantum mechanics , machine learning , artificial intelligence , composite material , radiology

This paper investigated delay-dependent robust stability criteria for systems with interval time-varying delays and nonlinear perturbations. A delay-partitioning approach is used in this paper, the delay-interval is partitioned into multiple equidistant subintervals, a new Lyapunov-Krasovskii (L-K) functional contains some triple-integral terms, and augment terms are introduced on these intervals. Then, by using integral inequalities method together with free-weighting matrix approach, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by optimization algorithms. Numerical examples are given to show the effectiveness and the benefits of the proposed method

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