Reconstruction of complex networks with delays and noise perturbation based on generalized outer synchronization
Xiang Wei, Shihua Chen, Jun-an Lu, Di Ning · Journal of Physics A Mathematical and Theoretical · 2016
This paper proposes an approach to identify the topological structure and unknown system parameters of a weighted complex dynamical network with delay and noise perturbation. Based on the Barbalat-type invariance principle for stochastic differential equations, an effective adaptive feedback technique with an updated law is developed to realize generalized outer synchronization. The unknown topological structure and parameters are identified simultaneously through the established technique. The weight configuration matrix was found to be unnecessarily symmetric. Numerical examples are examined to illustrate the effectiveness of the analytical results.