Remark on “Finite-time filtering for discrete-time linear impulsive systems”

The finite-time filtering problem for discrete-time linear impulsive systems has been investigated by Xu and Sun (2012) [1]. This paper finds that Theorem 2 in Xu and Sun (2012) [1] lacks some conditions via a numerical example and gives a complete conclusion. But some conditions in this complete conclusion are coupled. In order to avoid coupling, two feasible conclusions are given.