New exponential synchronization criteria for time-varying delayed neural networks with discontinuous activations.
This paper investigates the problem of exponential synchronization of time-varying delayed neural networks with discontinuous neuron activations. Under the extended Filippov differential inclusion framework, by designing discontinuous state-feedback controller and using some analytic techniques, new testable algebraic criteria are obtained to realize two different kinds of global exponential synchronization of the drive-response system. Moreover, we give the estimated rate of exponential synchronization which depends on the delays and system parameters. The obtained results extend some previous works on synchronization of delayed neural networks not only with continuous activations but also with discontinuous activations. Finally, numerical examples are provided to show the correctness of our analysis via computer simulations. Our method and theoretical results have a leading significance in the design of synchronized neural network circuits involving discontinuous factors and time-varying delays.
Department of Information Technology, Hunan Women's University, Changsha, Hunan 410002, PR China. Electronic address: caizuowei01@126.com.
Zuowei
Z
Cai
Department of Information Technology, Hunan Women's University, Changsha, Hunan 410002, PR China; College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China. Electronic address: lhhuang@hnu.edu.cn.
Lihong
L
Huang
Department of Information Technology, Hunan Women's University, Changsha, Hunan 410002, PR China. Electronic address: linglingmath@gmail.com.
Lingling
L
Zhang
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013997:Time Factors
Delayed neural networks; Differential inclusions; Discontinuous activations; Exponential synchronization; State-feedback control