Finite-time synchronization for different dimensional fractional-order complex dynamical networks

This article is involved with the finite-time synchronization problem between two different dimensional fractional-order complex dynamical networks (FOCDNs). Firstly, the definition of finite-time synchronization for different dimensional FOCDNs are introduced. Under the framework of finite-time control theory and fractional-order Lyapunov functional method, the controller is designed such that the FOCDNs are synchronized in a finite time. Secondly, some unknown parameters are adopted in the FOCDNs, novel adaptive updated control law and dynamical parameter estimation are proposed to guarantee that the finite-time synchronization can be obtained to achieve the desired conclusions. Furthermore, the setting times for synchronization of FOCDNs are explicitly evaluated. Finally, a numerical example is presented to demonstrate the effectiveness of proposed control algorithms. (C) 2019 Elsevier Ltd. All rights reserved.