H_{鈭?/sub> filtering for a class of singular Markovian jump systems with time-varying delay}

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• 作者：Shaohua Long^a ; ^b ; ^{longshaohua0732@126.com} ; Shouming Zhong^a ; Zijian Liu^a
• 关键词：Singular systems ; Time-varying delay ; Markovian jump ; H&infin ; filter ; Mean-square exponentially admissible
• 刊名：Signal Processing
• 出版年：2012
• 期刊代码：162_01651684
• 类别：et
• 出版时间：November, 2012
• 卷：92
• 期：11
• 页码：2759-2768
• 文件大小：226 K

摘要

This paper deals with the filtering problem for a class of singular Markovian jump systems with time-varying delay. The singular matrices in the considered system are mode-dependent. We aim to design a filter ensuring that the filtering error system is mean-square exponentially admissible and satisfies a prescribed performance level. Using the Lyapunov functional method and the free-weighting matrix method, a delay-dependent sufficient condition for the existence of a desired filter is presented in the form of linear matrix inequalities (LMIs). Finally, some numerical examples are provided to show the effectiveness of the proposed approach.