Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. / Wang, Yangfan; Lin, Ping; Wang, Linshan.
In: Nonlinear Analysis: Real World Applications, Vol. 13, No. 3, 01.06.2012, p. 1353-1361.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays
A1 - Wang,Yangfan
A1 - Lin,Ping
A1 - Wang,Linshan
AU - Wang,Yangfan
AU - Lin,Ping
AU - Wang,Linshan
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. © 2011 Elsevier Ltd. All rights reserved.
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. © 2011 Elsevier Ltd. All rights reserved.
UR - http://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-84655160776&md5=d94aa81aab5f3996514223cd05055cdd
U2 - 10.1016/j.nonrwa.2011.10.013
DO - 10.1016/j.nonrwa.2011.10.013
M1 - Article
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
SN - 1468-1218
IS - 3
VL - 13
SP - 1353
EP - 1361
ER -