title: Finite-time synchronization of coupled neural networks via discontinuous controllers.
abstract: This paper investigates finite-time synchronization of an array of coupled neural networks via discontinuous controllers. Based on Lyapunov function method and the discontinuous version of finite-time stability theory, some sufficient criteria for finite-time synchronization are obtained. Furthermore, we propose switched control and adaptive tuning parameter strategies in order to reduce the settling time. In addition, pinning control scheme via a single controller is also studied in this paper. With the hypothesis that the coupling network topology contains a directed spanning tree and each of the strongly connected components is detail-balanced, we prove that finite-time synchronization can be achieved via pinning control. Finally, some illustrative examples are given to show the validity of the theoretical results.
authors.affiliation: Department of Mathematics, Southeast University, Nanjing, 210096 China.
authors.forename: Jun
authors.initials: J
authors.lastname: Shen
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
keywords: Discontinuous control; Finite-time synchronization; Neural networks; Pinning control