New Robust Exponential Stability Criterion for Uncertain Neutral Systems with Discrete and Distributed Time‐Varying Delays and Nonlinear Perturbations | Zendy

Sirada Pinjai | Zendy; Kanit Mukdasai | Zendy

Open Access

New Robust Exponential Stability Criterion for Uncertain Neutral Systems with Discrete and Distributed Time‐Varying Delays and Nonlinear Perturbations

Author(s) -

Sirada Pinjai,

Kanit Mukdasai

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/463603

Subject(s) - mathematics , nonlinear system , exponential stability , control theory (sociology) , stability (learning theory) , exponential function , transformation (genetics) , matrix (chemical analysis) , mathematical analysis , computer science , control (management) , biochemistry , chemistry , physics , materials science , quantum mechanics , artificial intelligence , machine learning , composite material , gene

We investigate the problem of robust exponential stability for uncertain neutral systems with discrete and distributed time-varying delays and nonlinear perturbations. Based on the combination of descriptor model transformation, decomposition technique of coefficient matrix, and utilization of zero equation and new Lyapunov functional, sufficient conditions for robust exponential stability are obtained and formulated in terms of linear matrix inequalities (LMIs). The new stability conditions are less conservative and more general than some existing results

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