title: Exponential synchronization of memristive Cohen-Grossberg neural networks with mixed delays.
abstract: This paper concerns the problem of global exponential synchronization for a class of memristor-based Cohen-Grossberg neural networks with time-varying discrete delays and unbounded distributed delays. The drive-response set is discussed. A novel controller is designed such that the response (slave) system can be controlled to synchronize with the drive (master) system. Through a nonlinear transformation, we get an alternative system from the considered memristor-based Cohen-Grossberg neural networks. By investigating the global exponential synchronization of the alternative system, we obtain the corresponding synchronization criteria of the considered memristor-based Cohen-Grossberg neural networks. Moreover, the conditions established in this paper are easy to be verified and improve the conditions derived in most of existing papers concerning stability and synchronization for memristor-based neural networks. Numerical simulations are given to show the effectiveness of the theoretical results.
authors.affiliation: Department of Mathematics, Chongqing Normal University, Chongqing, 401331 China.
authors.forename: Xinsong
authors.initials: X
authors.lastname: Yang
authors.affiliation: Department of Mathematics and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096 China ; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jidda, 21589 Saudi Arabia.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.affiliation: Department of Mathematics and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096 China ; School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC 3001 Australia.
authors.forename: Wenwu
authors.initials: W
authors.lastname: Yu
keywords: Cohen–Grossberg neural networks; Control; Exponential synchronization; Memristor; Unbounded distributed delay