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

Author

Listed:
  • 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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:348418
    DOI: 10.1155/2012/348418
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    References listed on IDEAS

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    1. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "New robust stability condition for uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1073-1079.
    2. Li, Ping & Zhong, Shou-Ming & Cui, Jin-Zhong, 2009. "Stability analysis of linear switching systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 474-480.
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    1. 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).

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