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Recent Progress in Stability and Stabilization of Systems with Time-Delays

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  • Magdi S. Mahmoud

Abstract

This paper overviews the research investigations pertaining to stability and stabilization of control systems with time-delays. The prime focus is the fundamental results and recent progress in theory and applications. The overview sheds light on the contemporary development on the linear matrix inequality (LMI) techniques in deriving both delay-independent and delay-dependent stability results for time-delay systems. Particular emphases will be placed on issues concerned with the conservatism and the computational complexity of the results. Key technical bounding lemmas and slack variable introduction approaches will be presented. The results will be compared and connections of certain delay-dependent stability results are also discussed.

Suggested Citation

  • Magdi S. Mahmoud, 2017. "Recent Progress in Stability and Stabilization of Systems with Time-Delays," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-25, June.
    • Handle: RePEc:hin:jnlmpe:7354654
    DOI: 10.1155/2017/7354654
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    Cited by:

    1. Gisela Pujol-Vazquez & Saleh Mobayen & Leonardo Acho, 2020. "Robust Control Design to the Furuta System under Time Delay Measurement Feedback and Exogenous-Based Perturbation," Mathematics, MDPI, vol. 8(12), pages 1-15, November.

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