Adaptive lag synchronization based topology identification scheme of uncertain general complex dynamical networks

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012