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Output-feedback guaranteed cost control for uncertain time-delay systems with Markov jumps. (English) Zbl 0999.93071

This paper deals with the guaranteed cost control problem of a jump linear system with uncertain parameters and constant time delays.
The authors investigate the robust stability and the mean square quadratic stability (MSQS) of this class of systems. Using the linear matrices inequalities optimization technique, they develop an algorithm to design a suboptimal output-feedback guaranteed cost controller which stabilizes the system in the MSQS sense.
Reviewer: M.Nisio (Osaka)

MSC:

93E15 Stochastic stability in control theory
93D21 Adaptive or robust stabilization
60J75 Jump processes (MSC2010)
15A39 Linear inequalities of matrices
93D09 Robust stability
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