title: Function projective synchronization of memristor-based Cohen-Grossberg neural networks with time-varying delays.
abstract: This paper deals with the problem of function projective synchronization for a class of memristor-based Cohen-Grossberg neural networks with time-varying delays. Based on the theory of differential equations with discontinuous right-hand side, some novel criteria are obtained to realize the function projective synchronization of addressed networks by combining open loop control and linear feedback control. As some special cases, several control strategies are given to ensure the realization of complete synchronization, anti-synchronization and the stabilization of the considered memristor-based Cohen-Grossberg neural network. Finally, a numerical example and its simulations are provided to demonstrate the effectiveness of the obtained results.
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Ürümqi, 830046 Xinjiang People's Republic of China.
authors.forename: Abdujelil
authors.initials: A
authors.lastname: Abdurahman
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Ürümqi, 830046 Xinjiang People's Republic of China.
authors.forename: Haijun
authors.initials: H
authors.lastname: Jiang
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Ürümqi, 830046 Xinjiang People's Republic of China.
authors.forename: Kaysar
authors.initials: K
authors.lastname: Rahman
keywords: Cohen–Grossberg neural network; Function projective synchronization; Memristor; Time-varying delay