title: Global exponential stability of complex-valued neural networks with both time-varying delays and impulsive effects.
abstract: In this paper, the global exponential stability of complex-valued neural networks with both time-varying delays and impulsive effects is discussed. By employing Lyapunov functional method and using matrix inequality technique, several sufficient conditions in complex-valued linear matrix inequality form are obtained to ensure the existence, uniqueness and global exponential stability of equilibrium point for the considered neural networks. Moreover, the exponential convergence rate index is estimated, which depends on the system parameters. The proposed stability results are less conservative than some recently known ones in the literatures, which is demonstrated via two examples with simulations.
authors.affiliation: Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China. Electronic address: qiankunsong@163.com.
authors.forename: Qiankun
authors.initials: Q
authors.lastname: Song
authors.affiliation: School of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China. Electronic address: huanyancquc@163.com.
authors.forename: Huan
authors.initials: H
authors.lastname: Yan
authors.affiliation: Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China. Electronic address: zhaozjcn@163.com.
authors.forename: Zhenjiang
authors.initials: Z
authors.lastname: Zhao
authors.affiliation: Department of Mathematics, Yangzhou University, Yangzhou 225002, China; Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: liuyurong@gmail.com.
authors.forename: Yurong
authors.initials: Y
authors.lastname: Liu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016571:Neural Networks, Computer; D013997:Time Factors
keywords: Complex-valued linear matrix inequality; Complex-valued neural networks; Exponential stability; Impulsive effects; Time-varying delay