IEEE Transactions on Fuzzy Systems
Set-membership fuzzy filtering for nonlinear discrete-time systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Passivity analysis and passive control of fuzzy systems with time-varying delays
Fuzzy Sets and Systems
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Conditions about the stabilization of Takagi-Sugeno fuzzy models can systematically be derived and solved usually using linear matrix inequality problems. Current research tries to lower any pessimism. However, often it leads to an important increase in the number of decision variables, and problems become unsolvable. In this correspondence, we choose to reduce the number of decision variables while not raising the conservatism in comparison with previous results. This correspondence deals with the discrete case, which is harder to solve. We supply results about the stabilization, the regulator problem, and also Hinfin control.