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New Delay‐Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations

Author

Listed:
  • Sirada Pinjai
  • Kanit Mukdasai

Abstract

This paper is concerned with the problem of robust exponential stability for linear parameter‐dependent (LPD) neutral systems with mixed time‐varying delays and nonlinear perturbations. Based on a new parameter‐dependent Lyapunov‐Krasovskii functional, Leibniz‐Newton formula, decomposition technique of coefficient matrix, free‐weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay‐dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.

Suggested Citation

  • Sirada Pinjai & Kanit Mukdasai, 2013. "New Delay‐Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:268905
    DOI: 10.1155/2013/268905
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    References listed on IDEAS

    as
    1. Sirada Pinjai & Kanit Mukdasai, 2011. "New Robust Exponential Stability Criterion for Uncertain Neutral Systems with Discrete and Distributed Time‐Varying Delays and Nonlinear Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Kanit Mukdasai, 2012. "Robust Exponential Stability for LPD Discrete‐Time System with Interval Time‐Varying Delay," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. O. Kwon & J. H. Park, 2005. "Matrix Inequality Approach to a Novel Stability Criterion for Time-Delay Systems with Nonlinear Uncertainties," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 643-656, September.
    4. Sirada Pinjai & Kanit Mukdasai, 2011. "New Robust Exponential Stability Criterion for Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays and Nonlinear Perturbations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-16, August.
    5. 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, John Wiley & Sons, vol. 2012(1).
    6. 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.
    7. Kanit Mukdasai, 2012. "Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, August.
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