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

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  • Hamid Reza Karimi
  • Mauricio Zapateiro
  • Ningsu Luo

Abstract

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.

Suggested Citation

  • Hamid Reza Karimi & Mauricio Zapateiro & Ningsu Luo, 2009. "New Delay-Dependent Stability Criteria for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-22, March.
    • Handle: RePEc:hin:jnlmpe:759248
    DOI: 10.1155/2009/759248
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