On global exponential stability of positive neural networks with time-varying delay.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

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

  • Le Van Hien
    Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Road, Hanoi, Viet Nam. Electronic address: hienlv@hnue.edu.vn.