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Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time‐Varying Delay and Nonlinear Perturbations

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  • W. Weera
  • P. Niamsup

Abstract

We study the robust stability criteria for uncertain neutral systems with interval time‐varying delays and time‐varying nonlinear perturbations simultaneously. The constraint on the derivative of the time‐varying delay is not required, which allows the time‐delay to be a fast time‐varying function. Based on the Lyapunov‐Krasovskii theory, we derive new delay‐dependent stability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature.

Suggested Citation

  • W. Weera & P. Niamsup, 2011. "Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time‐Varying Delay and Nonlinear Perturbations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnljam:v:2011:y:2011:i:1:n:138912
    DOI: 10.1155/2011/138912
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    1. Shen, Chang-Chun & Zhong, Shou-Ming, 2009. "New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2277-2285.
    2. Zhang, Jinhui & Shi, Peng & Qiu, Jiqing, 2008. "Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 160-167.
    3. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Stability criteria for uncertain neutral systems with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 650-657.
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