The problem of distibuting H∞ filtering for networked systemsis studied.Using the input delay approach

the model of the networked distributed filtering system isestablished

where the discrete signal transmission mode is used.Compared with some existing models which uses continuous signal transmission mode

the model in this paper is more practical.When the graph of the distributed filters is weakly connected

using Lyapunov-Krasovskii stability theory

the H∞ performance analysis of the distributed filtering error system is established.The design method of the distributed H∞ filters is obtained through linear matrix inequality(LMI)technique.At last

a numerical example isgiven to illustrate the effectivenessof the proposed method.