Abstract
This paper is concerned with the state estimation and H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> sliding mode control for delayed singular Markovian jump systems. A non-fragile observer is designed to estimate the system states, and the sliding mode control law is established to ensure the reachability of the sliding surface in the state-estimation space. Then, some sufficient conditions for the stochastic admissibility of the overall closed-loop system with H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> disturbance attenuation level are derived in terms of strict linear matrix inequality (LMI).
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