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 - http://www.scopus.com/inward/record.url?scp=84655160776&partnerID=8YFLogxK
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 -