期刊
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
卷 109, 期 3, 页码 587-600出版社
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1017515721760
关键词
Markov processes; time delays; robust stability; linear matrix inequalities
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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