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标题：Delay-Dependent <svg style="vertical-align:-4.50008pt;width:34.849998px;" id="M1" height="20.362499" version="1.1" viewBox="0 0 34.849998 20.362499" width="34.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.3625)"> <g transform="translate(72,-55.71)"> <text transform="matrix(1,0,0,-1,-71.95,60.24)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝐻</tspan> </text> <text transform="matrix(1,0,0,-1,-56.29,55.76)"> <tspan style="font-size: 12.55px; " x="0" y="0">∞</tspan> </text> </g> </g> </svg> Filtering for Singular Time-Delay Systems
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作者：Zhenbo Li ; Shuqian Zhu
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2011
卷号：2011
DOI：10.1155/2011/760878
出版社：Hindawi Publishing Corporation
摘要：This paper deals with the problem of delay-dependent 𝐻∞ filtering for singular time-delay systems. First, a new delay-dependent condition which guarantees that the filter error system has a prescribed 𝐻∞ performance 𝛾 is given in terms of linear matrix inequalities (LMIs). Then, the sufficient condition is obtained for the existence of the 𝐻∞ filter, and the explicit expression for the desired 𝐻∞ filter is presented by using LMIs and the cone complementarity linearization iterative algorithm. A numerical example is provided to illustrate the effectiveness of the proposed method.