State Estimation for Discrete-Time Complex Networks With Time-Varying Outer Coupling and Uncertain Inner Coupling: A Distributed Method

A distributed filtering issue is considered for discrete-time complex networks (CNs) with variable outer coupling and uncertain inner coupling. The outer coupling is described by a matrix with time-varying configuration parameters, and the inner coupling parameters are permitted to change within specific limits. The focus of this study is the design of filters for each node utilizing data from local and neighboring nodes. We prove the estimation error covariance (EEC) is exponentially bounded on the mean square, obtaining an optimal filter gain such that the bound is minimized. And we quantitatively analyzed the relationship between coupling parameters and filtering performance. A series of numerical simulations are given with comparisons to illustrate the filtering performance.