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Asymptotic Stability for a Class of Neutral Systems with Discrete and Distributed Time Delays

Author

Listed:
  • K.K. Fan

    (National Sun Yat-Sen University
    Yung-Ta Institute of Technology)

  • C.H. Lien

    (I-Shou University)

  • J.G. Hsieh

    (National Sun Yat-Sen University)

Abstract

In this note, the asymptotic stability for a class of neutral systems with discrete time and distributed time delays is considered. Delay-dependent criteria are proposed to guarantee the stability for such systems. Some numerical examples are given to illustrate that our results are less conservative than previous results.

Suggested Citation

  • K.K. Fan & C.H. Lien & J.G. Hsieh, 2002. "Asymptotic Stability for a Class of Neutral Systems with Discrete and Distributed Time Delays," Journal of Optimization Theory and Applications, Springer, vol. 114(3), pages 705-716, September.
    • Handle: RePEc:spr:joptap:v:114:y:2002:i:3:d:10.1023_a:1016087332235
    DOI: 10.1023/A:1016087332235
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    References listed on IDEAS

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    1. Y. J. Sun & J. G. Hsieh, 1998. "Robust Stabilization for a Class of Uncertain Nonlinear Systems with Time-Varying Delay: Razumikhin-Type Approach," Journal of Optimization Theory and Applications, Springer, vol. 98(1), pages 161-173, July.
    2. J. H. Park & S. Won, 1999. "Asymptotic Stability of Neutral Systems with Multiple Delays," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 183-200, October.
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    Cited by:

    1. Li, Zhao-Yan & Shang, Shengnan & Lam, James, 2019. "On stability of neutral-type linear stochastic time-delay systems with three different delays," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 147-166.
    2. J. H. Park, 2005. "Delay-Dependent Criterion for Guaranteed Cost Control of Neutral Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 491-502, February.

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