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

E. K. Boukas and Z. K. Liu
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E. K. Boukas: École Polytechnique de Montréal
Z. K. Liu: École Polytechnique de Montréal

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 3, No 6, 587-600

Abstract: 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.

Keywords: Markov processes; time delays; robust stability; linear matrix inequalities (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (3)

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DOI: 10.1023/A:1017515721760

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