Topology identification of complex dynamical networks.
Recently, some researchers investigated the topology identification for complex networks via LaSalle's invariance principle. The principle cannot be directly applied to time-varying systems since the positive limit sets are generally not invariant. In this paper, we study the topology identification problem for a class of weighted complex networks with time-varying node systems. Adaptive identification laws are proposed to estimate the coupling parameters of the networks with and without communication delays. We prove that the asymptotic identification is ensured by a persistently exciting condition. Numerical simulations are given to demonstrate the effectiveness of the proposed approach.
Zhao
Junchan
J
Research Center of Nonlinear Science, Wuhan Textile University, Wuhan 430073, China. junchanzhao@163.com
Li
Qin
Q
Lu
Jun-An
JA
Jiang
Zhong-Ping
ZP