Robust control for stochastic interval system with time delay based on dissipativity analysis

In this paper, robust control problems for stochastic delay interval systems(SDISs) based on dissipativity analysis are investigated. The SDISs are equivalently transformed into a kind of stochastic uncertain systems with time-delay firstly. By constructing appropriate Lyapunov-Krasovskii functional, the state-feedback robust controller is designed via solving a linear matrix inequality(LMI). Finally, a numerical example with simulation is given to show the effectiveness and correction of the designed robust controller.

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