This paper investigates the reliable mixed passive and H 1 filtering problem for uncertain semi-Markov jump delayed systems subject to sensor failures. The parameter uncertainties are randomly occurring with two stochastic variables, which are mutually independent and satisfy certain probabilistic distributions on the interval OE0; 1. The objective is to focus on the design of a reliable filter ensuring the mixed passivity and H 1 performance level of the resulting filtering error system in the presence of sensor failures. By using an improved reciprocally convex approach combined with a novel integral inequality, sufficient conditions of mixed passivity and H 1 performance analysis for the considered systems are derived. Based on these, a desired reliable filter design method is developed, and the parameters of the filter are readily calculated by employing a simple expression of the desired filter. Three numerical examples are presented to demonstrate the effectiveness and the reduced conservatism of the proposed method. RELIABLE MIXED PASSIVE AND H 1 FILTERING 3233 To simplify the notation, we denote A i D A .t/ for each .t/ D i 2 S, and the other symbols are similarly denoted. In (1)-(4), the continuous function .t/ denotes the time-varying delay of the system that satisfies 0 < .t/ 6 and P .t/ 6 ; '.t/ is a vector-valued initial continuous function defined on the interval OE ; 0. In the sequel, A i , A 1i , B i , C i , D i , and L i are known real constant

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Abstract-This paper investigates the finite-time eventtriggered H∞ control problem for Takagi-Sugeno Markov jump fuzzy systems. Because of the sampling behaviors and the effect of the network environment, the premise variables considered in this paper are subject to asynchronous constraints. The aim of this work is to synthesize a controller via an event-triggered communication scheme such that not only the resulting closedloop system is finite-time bounded and satisfies a prescribed H∞ performance level, but also the communication burden is reduced. Firstly, a sufficient condition is established for the finitetime bounded H∞ performance analysis of the closed-loop fuzzy system with fully considering the asynchronous premises. Then, based on the derived condition, the desired controller design method is presented. Finally, two illustrative examples are given to explain the practicability and availability of the designed controller.