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This paper is concerned with the delaydependent H∞ fuzzy static output feedback control scheme for discretetime Takagi–Sugeno (T–S) fuzzy stochastic systems with distributed timevarying delays. To begin with, the T–S fuzzy stochastic system is transformed to an equivalent switching fuzzy stochastic system. Then, based on novel matrix decoupling technique, improved freeweighting matrix technique and piecewise Lyapunov–Krasovskii function (PLKF), a new delaydependent H∞ fuzzy static output feedback controller design approach is first derived for the switching fuzzy stochastic system. Some drawbacks existing in the previous papers such as matrix equalities constraint, coordinate transformation, the same output matrices, diagonal structure constraint on Lyapunov matrices and BMI problem have been eliminated. Since only a set of LMIs is involved, the controller parameters can be solved directly by the Matlab LMI toolbox. Finally, two examples are provided to illustrate the validity of the proposed method.
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