title: New criterion of asymptotic stability for delay systems with time-varying structures and delays.
abstract: In this paper, we study asymptotic stability of the zero solution of a class of differential systems governed by a scalar differential inequality with time-varying structures and delays. We establish a new generalized Halanay inequality for the asymptotic stability of the zero solution for such systems under more relaxed conditions than the existing ones. We also apply the theoretical results to the analysis of self synchronization in networks of delayed differential systems and obtain a more general sufficient condition for self synchronization.
authors.affiliation: Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China, Xidian University, Xi'an 710071, PR China; Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan. Electronic address: liu7bo9@gmail.com.
authors.forename: Bo
authors.initials: B
authors.lastname: Liu
authors.affiliation: Centre for Computational Systems Biology, Fudan University, Shanghai, PR China; Laboratory of Mathematics for Nonlinear Science, School of Mathematical Sciences, Fudan University, Shanghai, PR China; Department of Computer Science, The University of Warwick, Coventry CV4 7AL, United Kingdom. Electronic address: wenlian@fudan.edu.cn.
authors.forename: Wenlian
authors.initials: W
authors.lastname: Lu
authors.affiliation: The School of Computer/Mathematical Sciences, Fudan University, 200433, Shanghai, PR China. Electronic address: tchen@fudan.edu.cn.
authors.forename: Tianping
authors.initials: T
authors.lastname: Chen
mesh_terms: D016571:Neural Networks, Computer; D013997:Time Factors
keywords: Delay systems; Neural networks; Synchronization; Time-varying systems