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Delay-Dependent Criterion for Guaranteed Cost Control of Neutral Delay Systems

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  • J. H. Park

    (Yeungnam University)

Abstract

In this article, the guaranteed cost control problem for a class of neutral delay systems is investigated. A linear--quadratic cost function is considered as a performance measure for the closed-loop system. Based on the Lyapunov method, delay-dependent criteria, which are expressed in terms of matrix inequalities, are proposed to guarantee the asymptotic stability of the system. The matrix inequalities can be solved easily by various efficient optimization algorithms.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:124:y:2005:i:2:d:10.1007_s10957-004-0947-8
    DOI: 10.1007/s10957-004-0947-8
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    References listed on IDEAS

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    1. 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.
    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. Watcharin Chartbupapan & Ovidiu Bagdasar & Kanit Mukdasai, 2020. "A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation," Mathematics, MDPI, vol. 8(1), pages 1-10, January.
    2. M. V. Thuan & V. N. Phat, 2012. "Optimal Guaranteed Cost Control of Linear Systems with Mixed Interval Time-Varying Delayed State and Control," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 394-412, February.
    3. Park, Ju H. & Lee, S.M. & Kwon, O.M., 2009. "On exponential stability of bidirectional associative memory neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1083-1091.

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