https://doi.org/10.1140/epjb/e2012-20959-7
Regular Article
Adaptive lag synchronization based topology identification scheme of uncertain general complex dynamical networks
1 Tianjin Key Laboratory of Information Sensing & Intelligent Control, School of Automation and Electrical Engineering, Tianjin University of Technology and Education, Tianjin 300222, P.R. China
2 Institute of Semiconductors, Chinese Academy of Sciences, Bejing 100083, P.R. China
3 School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, P.R. China
a
e-mail: yqche@tju.edu.cn
Received: 26 November 2011
Received in final form: 16 April 2012
Published online: 30 July 2012
This paper presents an adaptive lag synchronization based method for simultaneous identification of topology and parameters of uncertain general complex dynamical networks with and without time delays. Based on Lyapunov stability theorem and LaSalle’s invariance principle, an adaptive controller is designed to realize lag synchronization between drive and response systems, meanwhile, identification criteria of network topology and system parameters are obtained. Numerical simulations illustrate the effectiveness of the proposed method.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012