Information Sciences: an International Journal
Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays
Fuzzy Sets and Systems
Design of a stable fuzzy controller for an articulated vehicle
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
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 On robust stabilization of Markovian jump systems with uncertain switching probabilities
Automatica (Journal of IFAC)
Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers
Automatica (Journal of IFAC)
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Abstract: This paper is concerned with the stability and stabilization problems for a class of nonlinear systems with Markovian jump parameters. The Takagi-Sugeno (T-S) fuzzy model is employed to represent the Markovian jump nonlinear systems with partly unknown transition probabilities. In contrast with the certain or uncertain transition probabilities investigated recently, the concept of partly unknown transition probabilities does not need any knowledge of the unknown elements. Some sufficient conditions for stochastic stability and stabilization conditions with a mode-dependent fuzzy controller are derived for the Markovian jump fuzzy systems in terms of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the design developed in this paper.