TY - JOUR
T1 - Global synchronization in an array of delayed neural networks with hybrid coupling
AU - Cao, Jinde
AU - Chen, Guanrong
AU - Li, Ping
PY - 2008/4
Y1 - 2008/4
N2 - In this paper, we propose and study a general array model of coupled delayed neural networks with hybrid coupling, which is composed of constant coupling, discrete-delay coupling, and distributed-delay coupling. Based on the Lyapunov functional method and Kronecker product properties, several sufficient conditions are established to ensure global exponential synchronization based on the design of the coupling matrices, the inner linking matrices, and/or some free matrices representing the relationships between the system matrices. The conditions are expressed within the framework of linear matrix inequalities, which can be easily computed by the interior-point method. In addition, a typical chaotic cellular neural network is used as the node in the array to illustrate the effectiveness and advantages of the theoretical results. © 2008 IEEE.
AB - In this paper, we propose and study a general array model of coupled delayed neural networks with hybrid coupling, which is composed of constant coupling, discrete-delay coupling, and distributed-delay coupling. Based on the Lyapunov functional method and Kronecker product properties, several sufficient conditions are established to ensure global exponential synchronization based on the design of the coupling matrices, the inner linking matrices, and/or some free matrices representing the relationships between the system matrices. The conditions are expressed within the framework of linear matrix inequalities, which can be easily computed by the interior-point method. In addition, a typical chaotic cellular neural network is used as the node in the array to illustrate the effectiveness and advantages of the theoretical results. © 2008 IEEE.
KW - Delayed neural network
KW - Distributed-delay coupling
KW - Global exponential synchronization
KW - Hybrid coupling
KW - Kronecker product
KW - Lyapunov-Krasovskii functional
UR - http://www.scopus.com/inward/record.url?scp=41649121303&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-41649121303&origin=recordpage
U2 - 10.1109/TSMCB.2007.914705
DO - 10.1109/TSMCB.2007.914705
M3 - RGC 22 - Publication in policy or professional journal
C2 - 18348930
SN - 1083-4419
VL - 38
SP - 488
EP - 498
JO - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
JF - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IS - 2
ER -