<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov-Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous results. Finally, two numerical examples are given to illustrate the advantages of the obtained results.</p></abstract>

This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov-Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous results. Finally, two numerical examples are given to illustrate the advantages of the obtained results.

Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

College of Mathematics, Physics and Information Engineering Zhejiang Normal University, Jinhua 321004, China

Department of Mathematics Southeast University, Nanjing 210096, China

Academic Affairs Division Zhejiang Normal University, Jinhua 321004, China

International Journal of Applied Mathematics and Computer Science

This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the...

Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality

Published Online: Mar 26, 2013

Page range: 201 - 211

DOI: https://doi.org/10.2478/amcs-2013-0016

This content is open access.