Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
Filtering-based robust fault detection of fuzzy jump systems
Fuzzy Sets and Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
Robust Fuzzy Control Approach for a Class of Markovian Jump Nonlinear Systems
IEEE Transactions on Fuzzy Systems
Brief Continuous-time state-feedback H2-control of Markovian jump linear systems via convex analysis
Automatica (Journal of IFAC)
Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers
Automatica (Journal of IFAC)
A high speed railway control system based on the fuzzy control method
Expert Systems with Applications: An International Journal
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This paper addresses the state feedback control of nonlinear continuous-time, Markovian-jump systems. The nonlinearity is represented by Takagi-Sugeno fuzzy models and the transition probability matrix is assumed to be partly known: some elements in the matrix are known, some are unknown but with known lower and upper bounds, and some are completely unknown. By making full use of the continuous property of the transition probability matrix, new sufficient conditions for the stochastic stability of the system are obtained in terms of linear matrix inequalities. We show that the conditions given are less conservative than or at least the same as those for existing results. Moreover, using the conditions obtained, we establish a method for design of a H"~ state feedback controller. Numerical examples illustrate the effectiveness of the proposed method.