### 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
• Published:2020-05-26

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.

CLC Number:

• O231
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