Finite-time asynchronous dissipative filtering of conic-type nonlinear Markov jump systems

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In the present study,the finite-time asynchronous dissipative filter design problem for the Markov jump systems with conic-type nonlinearity is studied.The hidden Markov model can describe the asyn-chronism embodied in the system modes and the filter modes reasonably.Moreover,a suitable Lyapunov-Krasovskii function is utilized and linear matrix inequalities are applied to obtain adequate conditions.These techniques guarantee the finite-time boundedness and strict dissipativity of the filtering error dynamic sys-tem.Furthermore,the design problems of the passive filter and the H∞ filter are studied by adjusting the three parameters u,g and v.Finally,the filter gains and the optimal index α* are obtained and the correctness and feasibility of thedesigned approach are verified by a simulation example.
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