Finite-Time H∞ Filtering for Singular Stochastic Markovian Jump Systems with Time-Varying Delays

The issue of finite-time H∞ filtering for singular stochastic Markovian jump systems with time-varying delays is concerned in this paper. H∞ filtering is designed for underlying closed-loop singular Markovian jump system and system state does not exceed a given bound over some finite-time interval....

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Bibliographic Details
Main Authors: Bin Yan, Xiaojia Zhou, Jun Cheng, Fangnian Lang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/567394
Description
Summary:The issue of finite-time H∞ filtering for singular stochastic Markovian jump systems with time-varying delays is concerned in this paper. H∞ filtering is designed for underlying closed-loop singular Markovian jump system and system state does not exceed a given bound over some finite-time interval. Considering the full information of underlying Markov process, sufficient conditions are obtained to guarantee that the described system is finite-time stability and H∞ filtering finite-time boundedness. By establishing the results of stochastic character and finite-time boundedness, the closed-loop singular Markovian jump system trajectory stays within the given bound. At last, a numerical example is supplied to show the efficiency of the proposed method.
ISSN:1024-123X
1563-5147