Control of Stochastic Systems with Time-Varying Multiple Time Delays: LMI Approach |
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Authors: | Boukas E K |
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Institution: | (1) GERAD and Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Québec, Canada |
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Abstract: | This paper deals with the class of continuous-time linear systems with Markovian jumps and multiple time delays. The systems that we are treating are assumed to have time-varying delays in their dynamics which can be different and also have uncertainties in the system parameters. The time-varying structure of the bounded uncertainties is considered. Delay-dependent conditions for stochastic stability and stochastic stabilizability and their robustness are considered. A design algorithm for a stabilizing memoryless controller is proposed. All the results are given in the LMI formalism. |
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Keywords: | Jump linear systems linear matrix inequalities stochastic stability stochastic stabilizability norm bounded uncertainties |
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