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Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations

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  • Kanit Mukdasai
  • Akkharaphong Wongphat
  • Piyapong Niamsup

Abstract

This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. Parameter dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, and linear matrix inequality are proposed to analyze the stability. On the basis of the estimation and by utilizing free-weighting matrices, new delay-dependent exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

Suggested Citation

  • Kanit Mukdasai & Akkharaphong Wongphat & Piyapong Niamsup, 2012. "Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-20, December.
    • Handle: RePEc:hin:jnlaaa:348418
    DOI: 10.1155/2012/348418
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