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Linear Matrix Inequality Approach to New Delay-Dependent Stability Criteria for Uncertain Dynamic Systems with Time-Varying Delays

Author

Listed:
  • O. M. Kwon

    (Chungbuk National University)

  • S. M. Lee

    (Daegu University)

  • Ju H. Park

    (Yeungnam University)

Abstract

In this paper, the problem of delay-dependent stability for uncertain dynamic systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. Using a new augmented Lyapunov functional, novel delay-dependent stability criteria for such systems are established in terms of LMIs (linear matrix inequalities), which can be solved easily by the application of convex optimization algorithms. Three numerical examples are given to show the superiority of the proposed method.

Suggested Citation

  • O. M. Kwon & S. M. Lee & Ju H. Park, 2011. "Linear Matrix Inequality Approach to New Delay-Dependent Stability Criteria for Uncertain Dynamic Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 149(3), pages 630-646, June.
    • Handle: RePEc:spr:joptap:v:149:y:2011:i:3:d:10.1007_s10957-011-9795-5
    DOI: 10.1007/s10957-011-9795-5
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    References listed on IDEAS

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    1. J. H. Park, 2005. "Convex Optimization Approach to Dynamic Output Feedback Control for Delay Differential Systems of Neutral Type," Journal of Optimization Theory and Applications, Springer, vol. 127(2), pages 411-423, November.
    2. C. H. Lien, 2005. "Guaranteed Cost Observer–Based Controls for a Class of Uncertain Neutral Time-Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 137-156, July.
    3. O. Kwon & J. H. Park, 2005. "Matrix Inequality Approach to a Novel Stability Criterion for Time-Delay Systems with Nonlinear Uncertainties," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 643-656, September.
    4. O. M. Kwon & J. H. Park, 2008. "Exponential Stability for Time-Delay Systems with Interval Time-Varying Delays and Nonlinear Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 277-293, November.
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