Reconstruction of complex networks with delays and noise perturbation based on generalized outer synchronization. (27th April 2016)

• Record Type: Journal Article
• Authors: Wei, Xiang; Chen, Shihua; Lu, Jun-an; Ning, Di
• Is Part Of: Journal of physics. Volume 49:Number 22(2016)
• Publication Date: 2016-04-27
• Subjects: topology and parameters identification -- generalized outer synchronization -- noise perturbation -- delay-coupled; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/49/22/225101
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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.