Finite-time H∞ control for nonhomogeneous Markovian jump fuzzy systems
The finite-time boundedness problem is investigated for discrete-time nonhomogeneous Markovian jump IT2 fuzzy systems.The time-varying transition probability is considered in the convex bounded domain with all vertices known.Firstly,by considering a stochastic Lyapunov function,the sufficient conditions for the finite time boundedness and H∞ performance of singular stochastic systems are given by introducing specific matrix variables.Secondly,by using the projection lemma,the linear matrix inequality conditions for the existence of state feedback controllers satisfying the H∞ performance level are given.Finally,an example is given to verify the effectiveness of the proposed theory.
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