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The problems of stochastic stability and sliding mode Hinfin control for a class of nonlinear matched and mismatched uncertain systems with stochastic jumps are considered in this paper. The uncertain system under consideration may have mismatched norm bounded uncertainties in the state matrix. The transition of the jumping parameters in the systems is governed by a finite-state Markov process. A...
This paper is concerned with the problem of robust Hinfin control for a class of uncertain nonlinear Markovian jump systems described by the Takagi-Sugeno (T-S) fuzzy models. The aim is to find a mode-dependent state feedback controller such that the closed-loop fuzzy jump system is robustly stochastically stable and a prescribed Hinfin performance level is satisfied for all admissible uncertainties...
A full-order robust Hinfin filtering design for a class of uncertain nonlinear systems was investigated. The nonlinearities are modeled by neural-networks and then represented by linear difference inclusions. The uncertainties are described by polytope type. The presented filter is linear time-invariant, which not only guarantees the robust stability of error system but also satisfies a prescribed...
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