Finite-time projective synchronization control of uncertain complex networks with brushless DC motor and Rikitake system

The finite-time projective synchronization control of two uncertain complex networks with Brushless DC motor (BLDCM) and Rikitake system is investigated. Based on the finite-time stability theory and adaptive technique, a novel and useful finite-time synchronization control criteria is proposed. The effective synchronization controller and corresponding update laws are designed to guarantee projective synchronization control of the two uncertain complex networks in a given finite-time. Simultaneously, the unknown parameters of node dynamics are estimated successfully and the uncertain topological structure tend to the proper constants. Especially, the proposed approach can rapidly track the network topology changes well and the weight topological structure values are automatically adapted to the appropriate constants in the process of synchronization control. To validate the proposed method, introduced the Brushless DC motor (BLDCM) and Rikitake system with uncertainties as the nodes of the networks, and numerical simulations are given to illustrate the theoretical results.