Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear Perturbations | Zendy

Wajaree Weera | Zendy; Piyapong Niamsup | Zendy

Open Access

Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear Perturbations

Author(s) -

Wajaree Weera,

Piyapong Niamsup

Publication year - 2011

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 - 10.1155/2011/138912

Subject(s) - interval (graph theory) , mathematics , nonlinear system , control theory (sociology) , stability (learning theory) , constraint (computer aided design) , time derivative , computer science , mathematical analysis , control (management) , physics , geometry , quantum mechanics , combinatorics , artificial intelligence , machine learning

We study the robust stability criteria for uncertain neutral systemswith interval time-varying delays and time-varying nonlinear perturbations simultaneously. The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskiitheory, we derive new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature

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