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This article is intended to deal with the problem of asynchronous admissibility and fault detection (FD) for time‐varying delay implicit Markovian switching systems (IMSSs) under hidden Markovian model (HMM) mechanism. The fundamental purpose is to design asynchronous FD filter such that the implicit Markovian switching residual system is stochastically admissible (including regular, impulse‐free,...
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