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Robust Stability of a Class of Uncertain Lur′e Systems of Neutral Type

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  • W. Weera
  • P. Niamsup

Abstract

This paper deals with the problem of stability for a class of Lur’e systems with interval time‐varying delay and sector‐bounded nonlinearity. The interval time‐varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov‐Krasovskii functional combined with Leibniz‐Newton’s formula, we establish some stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results.

Suggested Citation

  • W. Weera & P. Niamsup, 2012. "Robust Stability of a Class of Uncertain Lur′e Systems of Neutral Type," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:961382
    DOI: 10.1155/2012/961382
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    References listed on IDEAS

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    1. 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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