New Delay‐Dependent Stability Criteria for Uncertain Neutral Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations | Zendy

Hamid Reza Karimi | Zendy; Mauricio Zapateiro | Zendy; Ningsu Luo | Zendy

Open Access

New Delay‐Dependent Stability Criteria for Uncertain Neutral Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations

Author(s) -

Hamid Reza Karimi,

Mauricio Zapateiro,

Ningsu Luo

Publication year - 2009

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 - 10.1155/2009/759248

Subject(s) - control theory (sociology) , nonlinear system , stability (learning theory) , mathematics , computer science , physics , control (management) , artificial intelligence , quantum mechanics , machine learning

The problem of stability analysis for a class of neutral systems with mixed time-varying neutral, discrete and distributed delays and nonlinear parameter perturbations is addressed. By introducing a novel Lyapunov-Krasovskii functional and combining the descriptor model transformation, the Leibniz-Newton formula, some free-weighting matrices, and a suitable change of variables, new sufficient conditions are established for the stability of the considered system, which are neutral-delay-dependent, discrete-delay-range-dependent, and distributed-delay-dependent. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be efficiently solved using convex programming techniques. Two numerical examples are given to illustrate the efficiency of the proposed method

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