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Robust Stability and Stabilizability of Markov Jump Linear Uncertain Systems with Mode-Dependent Time Delays

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Abstract

This paper studies the class of uncertain linear systems with time delay and Markov jump disturbance, in which the time delay is assumed to be dependent on the system mode. An LMI-based condition for this class of systems to be robustly stable is established. Sufficient conditions for the robust stabilizability under a state feedback controller are developed, and an LMI-based method to design the state feedback is proposed. Numerical examples are worked out to show the usefulness of the theoretical results.

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Authors and Affiliations

  1. GERAD and Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Quebec, Canada

    E. K. Boukas (Professor)

  2. Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Quebec, Canada

    Z. K. Liu (Postdoctoral Fellow)

Authors
  1. E. K. Boukas
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  2. Z. K. Liu
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Boukas, E.K., Liu, Z.K. Robust Stability and Stabilizability of Markov Jump Linear Uncertain Systems with Mode-Dependent Time Delays. Journal of Optimization Theory and Applications 109, 587–600 (2001). https://doi.org/10.1023/A:1017515721760

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  • DOI: https://doi.org/10.1023/A:1017515721760

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