title: pth moment exponential stochastic synchronization of coupled memristor-based neural networks with mixed delays via delayed impulsive control.
abstract: This paper concerns the pth moment synchronization in an array of generally coupled memristor-based neural networks with time-varying discrete delays, unbounded distributed delays, as well as stochastic perturbations. Hybrid controllers are designed to cope with the uncertainties caused by the state-dependent parameters: (a) state feedback controllers combined with delayed impulsive controller; (b) adaptive controller combined with delayed impulsive controller. Based on an impulsive differential inequality, the properties of random variables, the framework of Filippov solution, and Lyapunov functional method, sufficient conditions are derived to guarantee that the considered coupled memristor-based neural networks can be pth moment globally exponentially synchronized onto an isolated node under both of the two classes of hybrid impulsive controllers. Finally, numerical simulations are given to show the effectiveness of the theoretical results.
authors.affiliation: Department of Mathematics, Chongqing Normal University, Chongqing, 401331, China. Electronic address: xinsongyang@163.com.
authors.forename: Xinsong
authors.initials: X
authors.lastname: Yang
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: jdcao@seu.edu.cn.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.affiliation: Department of Mathematics, Linyi University, Linyi Shandong, 276000, China. Electronic address: qjllinyi@aliyun.com.
authors.forename: Jianlong
authors.initials: J
authors.lastname: Qiu
mesh_terms: D000465:Algorithms; D005246:Feedback; D016571:Neural Networks, Computer; D013269:Stochastic Processes; D013997:Time Factors; D035501:Uncertainty
keywords: Delayed impulsive control; Filippov solution; Memristor-based neural networks; Moment exponential synchronization; Stochastic perturbations