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H∞ filtering for a class of stochastic Markovian jump systems with impulsive effects
Authors:Yuewu Dong  Jitao Sun  Qidi Wu
Abstract:In this paper, we discuss the problem of H filtering for a class of stochastic Markovian jump systems with impulsive effects. The aim is to design a stochastically stable filter, using the locally sampled measurements, which guarantee both the stochastic stability and a prescribed level of H performance for the filtering error dynamics. A sufficient condition for the existence of such a filter is given in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is obtained. A numerical example is provided to show the effectiveness of the proposed results. Copyright © 2007 John Wiley & Sons, Ltd.
Keywords:H∞  filtering  stochastic system  Markovian jump  impulsive system  sampled measurements  linear matrix inequality
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