A class of Cohen-Grossberg neural networks with discrete delays are investigated in this paper. By using the suitable Lyapunov function, sufficient conditions for adaptive lag synchronization of such systems are obtained. Finally, a numerical example is given to demonstrate the main results.

1.
L. M.
Pecorn
and
T. L.
Carroll
, “
Synchronization between linearly coupled chaotic systems
,”
Phys. Rev. Lett.
64
(
8
),
821
824
(
1990
).
2.
B.
Cui
and
X.
Lou
, “
Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control
,”
Chaos, Solitons Fractals
39
,
288
294
(
2009
).
3.
C.
Chiu
,
W.
Lin
, and
C.
Peng
, “
Asymptotic synchronization in lattices of coupled nonlinear Lorenz equations
,”
Int. J. Bifurcation Chaos
10
,
2717
2728
(
2000
).
4.
Y.
Sun
and
J.
Cao
, “
Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation
,”
Phys. Lett. A
364
,
277
285
(
2007
).
5.
T.
Yang
and
L.
Chua
, “
Impulsive control and synchronization of nonlinear dynamical system and application to secure communication
,”
Int. J. Bifurcation Chaos
7
,
645
664
(
1997
).
6.
H.
Huang
and
G.
Feng
, “
Synchronization of nonidentical chaotic neural networks with time delays
,”
Neural Networks
22
,
869
874
(
2009
).
7.
J.
Yu
,
C.
Hu
,
H.
Jiang
, and
Z.
Teng
, “
Exponential synchronization of Cohen-Grossberg neural networks via periodically intermittent control
,”
Nonlinearity
23
,
2369
2391
(
2010
).
8.
M.
Cohen
and
S.
Grossberg
, “
Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
,”
IEEE Trans. Syst. Man Cybern.
Smc-13
,
815
826
(
1983
).http://techlab.bu.edu/files/resources/articles_cns/CohGro1983IEEE.pdf
9.
J.
Cao
and
Q.
Song
, “
Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays
,”
Nonlinearity
19
,
1601
1617
(
2006
).
10.
H.
Zhao
and
L.
Wang
, “
Hopf bifurcation in Cohen-Grossberg neural network with distributed delays
,”
Nonlinear Anal.: Real World Appl.
8
,
73
89
(
2007
).
11.
Q.
Zhou
,
L.
Wan
, and
J.
Sun
, “
Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays
,”
Chaos, Solitons Fractals
32
,
1713
1719
(
2007
).
12.
Z.
Li
and
K.
Li
, “
Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms
,”
Appl. Math. Modell.
33
,
1337
1448
(
2009
).
13.
C.
Li
and
S.
Yang
, “
Existence and attractivity of periodic solutions to nonautonomous Cohen-Grossberg neural networks with time delays
,”
Chaos, Solitons Fractals
41
,
1235
1244
(
2009
).
14.
X.
Wang
,
Q.
Guo
, and
D.
Xu
, “
Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
,”
Math. Comput. Simul.
79
,
1698
1710
(
2009
).
15.
Q.
Song
and
Z.
Wang
, “
Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
,”
Physica A
387
,
3314
3326
(
2008
).
16.
J.
Cao
,
G.
Feng
, and
Y.
Wang
, “
Multistability and multiperiodicity of delayed Cohen-Grosssberg neural networks with a general class of activation functions
,”
Physica D
237
,
1734
1749
(
2008
).
17.
J.
Cao
and
Y.
Wang
, “
Bi-periodicity evoked by periodic external inputs in delayed Cohen-Grossberg-type bidirectional associative memory networks
,”
Phys. Scr.
81
,
055803
(
2010
).
18.
C.
Cheng
,
T.
Liao
, and
C.
Hwang
, “
Exponential synchronization of a class of chaotic neural networks
,”
Chaos, Solitons Fractals
24
,
197
206
(
2005
).
19.
J.
Chen
,
Z.
Wang
,
Y.
Liang
,
W.
Liao
, and
X.
Liao
, “
Synchronization of neural networks by decetralized linear-feedback control
,”
LNCS
4682
,
157
163
(
2007
).
20.
Q.
Zhu
and
J.
Cao
, “
Adaptive synchronization of chaotic Cohen-Grossberg neural networks with mixed time delays
,”
Nonlinear Dyn.
61
,
517
534
(
2010
).
21.
Z.
Chen
, “
Complete synchronization for impulsive Cohen-Grossberg neural networks with delay under noise perturbation
,”
Chaos, Solitons Fractals
42
,
1664
1669
(
2009
).
22.
T.
Lv
and
P.
Yan
, “
Exponential Synchronization of delayed fuzzy Cohen-Grossberg neural networks with reaction diffusion terms
,”
LNCS
6319
,
57
63
(
2010
).
23.
Q.
Gan
, “
Adaptive synchronization of Cohen-Grossberg neural networks with unknown parameters and mixed time-varying delays
,”
Commun. Nolinear Sci. Numer. Simul.
17
,
3040
3049
(
2012
).
24.
T.
Li
,
A.
Song
, and
S.
Fei
, “
Synchronization control for arrays of coupled discrete-time delayed Cohen-Crossberg neural networks
,”
Neurocomouting
74
,
197
204
(
2010
).
25.
E. M.
Shahverdiev
,
S.
Sivaprakasam
, and
K. A.
Shore
, “
Lag synchronization in time-delayed systems
,”
Phys. Lett. A
292
,
320
324
(
2002
).
You do not currently have access to this content.