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The aim of this paper is to admit and stabilize T–S descriptive with time delays. We present some general conditions for the uniqueness and existence in terms of the impulse-free solution for delayed T–S fuzzy systems. Thus, we establish and obtain in terms of strict linear matrix inequalities new sufficient conditions for the stability of T–S fuzzy systems and delayed T–S fuzzy systems by constructing the Lyapunov–Krasovskii functional and applying the generalized Itô formula. Furthermore, a novel algorithm for real-time adjustment of controller membership functions is designed based on a gradient descent strategy to obtain superior H ∞ performance. By using non-PDC fuzzy control mechanism instead of conventional non-PDC control scheme, the performance of interference reduction can be effectively improved. [ABSTRACT FROM AUTHOR]

This article presents the results on delay-dependent conditions of extended quantized T–S fuzzy filtering based on Markovian switch system (Q-FMSS) in the existence of communication delays via a channel. Different from the existing fuzzy filter, a new fuzzy filter is proposed to receive not only the quantized output of the system but also gets the quantized delay output. The purpose of this paper is to solve the H ∞ , L 2 - L ∞ , passive and dissipative filtering problems. The extended dissipative inequality contains several weighting matrices. By tuning the weighting matrices, the extended dissipativity will reduce to the H ∞ performance, L 2 - L ∞ performance, passivity and dissipativity, respectively. Another drive of this paper is to fully investigate the properties of Transition Rates (TRs) of Markovian switch system with Membership Function (MF) by implementing the novel fuzzy Markovian Lyapunov–Krasovskii functional to obtain the sufficient LMI conditions (delay dependent) for stochastically stability and performance analysis of resulting error system. Extended dissipativity notation is employed to resolve the resulting error system to consider the H ∞ , L 2 - L ∞ , dissipativity and passivity analyses, which are important for the power systems. Finally, a tunnel-diode example is given to elaborate the potentiality and effectiveness of the proposed design technique. [ABSTRACT FROM AUTHOR]