Abstract
This paper investigates the problems of \begin{document}$ \mathcal{H}_{\infty} $\end{document} performance analysis and sampled-data control about fuzzy Markovian jump systems. Firstly, in order to make full use of the information of both intervals \begin{document}$ x(t_{k}) $\end{document} to \begin{document}$ x(t) $\end{document} and \begin{document}$ x(t) $\end{document} to \begin{document}$ x(t_{k+1}) $\end{document} , we construct the mode-dependent Lyapunov function, which consists of a two-sided closed-loop function. Built on the above Lyapunov function, the stochastically stable conditions with less conservative are given by using linear matrices inequalities (LMIs). Then, a state feedback controller is presented for the studied systems. At last, an example is offered to illustrate the efficiency of our main results.
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