Parameters tracking identification based on finite-time synchronization for multi-links complex network via periodically switch control

In this paper, a class of periodically switch control method is proposed to achieve finite-time parameters tracking identification and synchronization for multi-link complex networks. This periodically switch control is an optimal control, two convertible control intensities are given in a fixed period instead of continuous high control intensity. Meanwhile, we give an effective analysis for complex network model with multiple constant time-delays and time-varying delays, we overcome these difficulties of time-delays and unknown parameters. The parameters estimation, topological identification are achieved based on parameters tracking identification of drive-response networks. Meanwhile, the corresponding identification and synchronization criteria are obtained based on Lyapunov function, linear matrix inequality (LMI) and finite-time stability theory. Finally, numerical simulations are given to verify the effectiveness of our proposed method.