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### 离散时间线性脉冲奇异系统的有限时间滤波

1. 1. 南阳理工学院数理学院, 河南 南阳 473004;
2. 陕西师范大学数学与信息科学学院, 陕西 西安 710119
• 收稿日期:2015-01-27 修回日期:2015-05-14 出版日期:2018-10-20 发布日期:2015-01-27
• 作者简介:仝云旭(1981-),男,河南南阳人,讲师,博士,主要研究方向为稳定性与滤波.E-mail:147853509@qq.com
• 基金资助:
青年科学基金资助项目(61403242);陕西省自然科学基础研究计划资助项目(2014JM1019);陕西省教育厅2014年专项科研资助项目(14JK1225)

### Finite-time filtering for discrete-time linear impulsive singular systems

TONG Yunxu1, LI Guihua1, LIU Tingting2, ZHU Yuqing1

1. 1. School of Mathematics and Physics, Nanyang Institute of Technology, Nanyang 473004, Henan, China;
2. School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, Shaanxi, China
• Received:2015-01-27 Revised:2015-05-14 Online:2018-10-20 Published:2015-01-27

Abstract: The finite-time filtering problem for discrete-time linear impulsive singular systems was investigated. Firstly, sufficient conditions for the filter error system which is finite-time stable and satisfies the performance requirements were given by using the linear matrix inequality method. Secondly, sufficient conditions for solving the finite-time filter problem of impulsive singular systems were presented, and the designing method of filter was provided, which generalizes the finite-time filtering theories of impulsive systems. Finally, a numerical example was given to demonstrate the feasibility of the conclusion.

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