Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions
Date
2007-07-13
Authors
Zhang, Fuxing
Li, Ya
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we consider higher-order Hopfield neural networks (HHNNs) with time-varying delays. Based on the fixed point theorem, Lyapunov functional method, differential inequality techniques, and without assuming the boundedness on the activation functions, we establish sufficient conditions for the existence and local exponential stability of the almost periodic solutions. The results of this paper are new and they complement previously known results.
Description
Keywords
High-order Hopfield neural networks, Almost periodic solution, Exponential stability, Time-varying delays
Citation
Zhang, F., & Li, Y. (2007). Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions. <i>Electronic Journal of Differential Equations, 2007</i>(99), pp. 1-10.
Rights
Attribution 4.0 International