This paper investigates the synchronization of coupled chaotic systems with time delay by using intermittent linear state feedback control. An exponential synchronization criterion is obtained by means of Lyapunov function and differential inequality method. Numerical simulations on the chaotic Ikeda and Lu systems are given to demonstrate the effectiveness of the theoretical results.

1.
H.
Fujisaka
and
T.
Yamada
,
Prog. Theor. Phys.
69
,
32
(
1983
).
2.
S.
Boccaletti
,
J.
Kurths
,
G.
Osipov
,
D. L.
Valladares
, and
C. S.
Zhou
,
Phys. Rep.
366
,
1
(
2002
).
3.
E.
Ott
,
G.
Grebogi
, and
J. A.
Yorke
,
Phys. Rev. Lett.
64
,
1196
(
1990
).
4.
J. F.
Heagy
,
T. L.
Carroll
, and
L. M.
Pecora
,
Phys. Rev. E
50
,
1874
, (
1994
).
5.
E. M.
Elabbasy
,
H. N.
Agiza
, and
M. M.
El-Dessoky
,
Chaos, Solitons Fractals
30
,
1133
(
2006
).
6.
M. T.
Yassen
,
Chaos, Solitons Fractals
37
,
465
(
2008
).
7.
J. H.
Park
,
S. M.
Lee
, and
O. M.
Kwon
,
Phys. Lett. A
371
,
263
(
2007
).
8.
M.
Rafikov
and
J. M.
Balthazar
,
Commun. Nonlinear Sci. Numer. Simul.
13
,
1246
(
2008
).
9.
I.
Masubuchi
and
M.
Tsutsui
, in
Proc. 40th IEEE Conf. Dec. Control
,
2001
, pp.
2466
2471
.
10.
K.
Tanaka
and
H. O.
Wang
, in
IEEE World Congress on Fuzzy Systems Proceedings
, Vol.
1
, pp.
434
439
.
11.
H.
Nijmeijer
and
I. M. Y.
Mareels
,
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
44
,
882
(
1997
).
12.
J. Q.
Fang
,
Y.
Hong
, and
G.
Chen
,
Phys. Rev. E
59
,
R2523
(
1999
).
13.
T.
Yang
and
L. O.
Chua
,
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
44
,
976
(
1997
).
14.
C. D.
Li
,
X. F.
Liao
,
X. F.
Yang
, and
T. W.
Huang
,
Chaos
15
,
043103
(
2005
).
15.
A.
Khadra
,
X.
Liu
, and
X.
Shen
,
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
50
,
341
(
2003
).
16.
A.
Khadra
,
X.
Liu
, and
X.
Shen
,
Automatica
41
,
1491
(
2005
).
17.
C. D.
Li
,
X. F.
Liao
, and
T. W.
Huang
,
Chaos
17
,
013103
(
2007
).
19.
C. D.
Li
,
X. F.
Liao
, and
X. F.
Yang
,
Chaos
16
,
033104
(
2006
).
20.
D.
Yue
,
Q. L.
Han
, and
C.
Peng
,
IEEE Trans. Circuits Syst., II: Express Briefs
52
,
204
(
2005
).
21.
S. S.
Yang
and
C. K.
Duan
,
J. Phys. A: Math Gen.
30
,
3273
(
1997
).
22.
H. N.
Agiza
,
Nonlinear Anal. Theory, Methods Appl.
58
,
11
(
2004
).
23.
H. T.
Lu
and
C.
Leeuwen
,
Chaos, Solitons Fractals
30
,
166
(
2006
).
24.
S.
Boyd
,
L.
El Ghaoui
, and
V.
Balakrishnan
,
Linear matrix Inequalities in Systems and Control Theory
(
SIAM
,
Philadelphia
,
1994
).
25.
M. C.
Mackey
and
L.
Glass
,
Science
197
,
287
(
1977
).
26.
Chaos Control: Theory and Applications
, edited by
G.
Chen
and
X.
Yu
(
Springer
,
New York
,
2003
).
27.
H.
Zhu
and
B.
Cui
,
Chaos
17
,
043122
(
2007
).
28.
K.
Ikeda
,
H.
Daido
, and
O.
Akimoto
,
Phys. Rev. Lett.
45
,
709
(
1980
).
29.
D. V.
Senthilkumar
,
M.
Lakshmanan
, and
J.
Kurths
,
Chaos
18
,
023118
(
2008
).
30.
D. V.
Senthilkumar
,
M.
Lakshmanan
, and
J.
Kurths
,
Phys. Rev. E
74
,
035205
(R) (
2006
).
31.
E. N.
Sanchez
and
J. P.
Perez
,
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
46
,
1395
(
1999
).
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