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Robust local stabilization of nonhomogenous Markovian jump fuzzy system with incomplete transition probabilities

This paper is concerned with the local stabilization for continuous-time nonhomogeneous Markovian jump fuzzy system with parameter uncertainties and incomplete transition description. Essentially, this paper proposes a method capable of designing a mode- and fuzzy-basis-dependent state feedback control such that the closed-loop system is locally exponentially mean square stable at the zero equilibrium point. In this method, an efficient relaxation technique is involved to reduce the conservatism that can occur while deriving a finite number of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the proposed method.