title: On global exponential stability of positive neural networks with time-varying delay.
abstract: This paper presents a new result on the existence, uniqueness and global exponential stability of a positive equilibrium of positive neural networks in the presence of bounded time-varying delay. Based on some novel comparison techniques, a testable condition is derived to ensure that all the state trajectories of the system converge exponentially to a unique positive equilibrium. The effectiveness of the obtained results is illustrated by a numerical example.
authors.affiliation: Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Road, Hanoi, Viet Nam. Electronic address: hienlv@hnue.edu.vn.
authors.forename: Le Van
authors.initials: LV
authors.lastname: Hien
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016571:Neural Networks, Computer; D013997:Time Factors
keywords: Exponential stability; Positive equilibrium; Positive neural networks; Time-varying delay