Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays

TY - JOUR

T1 - Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays

AU - Wang, Yangfan

AU - Lin, Ping

AU - Wang, Linshan

N1 - Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2012/6/1

Y1 - 2012/6/1

N2 - This paper studies the problems of global exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. By employing a new LyapunovKrasovskii functional and linear matrix inequality, some criteria of global exponential stability in the mean square for the reaction-diffusion high-order neural networks are established, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results.

AB - This paper studies the problems of global exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. By employing a new LyapunovKrasovskii functional and linear matrix inequality, some criteria of global exponential stability in the mean square for the reaction-diffusion high-order neural networks are established, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results.

UR - https://www.scopus.com/pages/publications/84655160776

U2 - 10.1016/j.nonrwa.2011.10.013

DO - 10.1016/j.nonrwa.2011.10.013

M3 - Article

AN - SCOPUS:84655160776

SN - 1468-1218

VL - 13

SP - 1353

EP - 1361

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 3

ER -