© The Institution of Engineering and Technology
The problem of global stability for a class of uncertain cellular neural networks with time delays has been discussed. The uncertainty is assumed to be of norm-bounded form. A less conservative robust stability condition is derived on the basis of a new Lyapunov–Krasovskii functional in terms of linear matrix inequalities. Two numerical examples are given to illustrate the effectiveness of the proposed method.
References
-
-
1)
-
C. Lin ,
Q.G. Wang ,
T.H. Lee
.
A less conservative robust stability test for linear uncertain time-delay systems.
IEEE Trans. Autom. Control
,
87 -
91
-
2)
-
H. Ye ,
A.N. Michel
.
Robust stability of nonlinear time-delay systems with applications to interval Hopfield neural networks with time delay.
IEEE Trans. Circuits Syst. I
,
532 -
543
-
3)
-
L.B. Rong
.
LMI approach for global periodicity of neural networks with time-varying delays.
IEEE Trans. Circuits Syst. I
,
1451 -
1458
-
4)
-
Z.Q. Zuo ,
Y.J. Wang
.
Relaxed LMI condition for output feedback guaranteed cost control of uncertain discrete-time systems.
J. Optim. Theory Appl.
,
207 -
217
-
5)
-
T.G. Chu
.
An exponential convergence estimate for analog neural networks with delay.
Phys. Lett. A
,
113 -
118
-
6)
-
V. Singh
.
Global robust stability of delayed neural networks: an LMI approach.
IEEE Trans. Circuits Syst. II
,
33 -
36
-
7)
-
S. Arik
.
An improved global stability result for delayed cellular neural networks.
IEEE Trans. Circuits Syst. I
,
8 ,
1211 -
1214
-
8)
-
J. Cao
.
Global stability conditions for delayed CNNs.
IEEE Trans. Circuits Syst. I
,
11 ,
1330 -
1333
-
9)
-
T. Roska ,
L.O. Chua
.
Cellular neural networks with nonlinear and delay-type template.
Int. J. Circuit Theory Appl.
,
469 -
481
-
10)
-
S. Boyd ,
L. El Ghaoui ,
E. Feron ,
V. Balakrishnan
.
(1994)
Linear matrix inequalities in systems and control theory.
-
11)
-
Y. He ,
M. Wu ,
J. She
.
An improved global asymptotic stability criterion for delayed cellular neural networks.
IEEE Trans. Neural Networks
,
1 ,
250 -
252
-
12)
-
L.O. Chua ,
L. Yang
.
Cellular neural networks: theory and applications.
IEEE Trans. Circuits Syst. I
,
1257 -
1290
-
13)
-
J. Hale ,
Verduyn ,
S.M. Lunel
.
(1993)
Introduction to functional differential equations.
-
14)
-
X.F. Liao ,
C.D. Li
.
An LMI approach to asymptotical stability of multi-delayed neural networks.
Physica D
,
139 -
155
-
15)
-
V. Singh
.
Robust stability of cellular neural networks with delay: linear matrix inequality approach.
IEE Proc. Control Theory Appl.
,
1 ,
125 -
129
-
16)
-
X.F. Liao ,
K.W. Wong ,
Z.F. Wu ,
G. Chen
.
Novel robust stability criterion for interval-delayed Hopfield neural networks.
IEEE Trans. Circuits Syst. I
,
1355 -
1359
-
17)
-
S. Arik
.
Global robust stability of delayed neural networks.
IEEE Trans. Circuits Syst. I
,
156 -
160
-
18)
-
S. Xu ,
J. Lam ,
D.W.C. Ho ,
Y. Zou
.
Improved global robust asymptotic stability criteria for delayed cellular neural networks.
IEEE Trans. Syst. Man Cybern. B
,
1317 -
1321
-
19)
-
C.D. Li ,
X.F. Liao ,
R. Zhang
.
Global robust asymptotical stability of multi-delayed interval neural networks: an LMI appraoch.
Phys. Lett. A
,
452 -
462
-
20)
-
V. Singh
.
A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks.
IEEE Trans. Neural Netw.
,
223 -
225
-
21)
-
J.D. Cao ,
D.S. Huang ,
Y.Z. Qu
.
Global robust stability of delayed recurrent neural networks.
Chaos Solitons Fractals
,
221 -
229
-
22)
-
T.-L. Liao ,
F.-C. Wang
.
Global stability for cellular neural networks with time delay.
IEEE Trans. Neural Netw.
,
1481 -
1484
-
23)
-
H.B. Zhang ,
C.G. Li ,
X.F. Liao
.
A note on the robust stability of neural networks with time delay.
Chaos Solitons Fractals
,
357 -
360
-
24)
-
X.F. Liao ,
J.B. Yu
.
Robust stability for interval Hopfield neural networks with time delay.
IEEE Trans. Neural Netw.
,
1042 -
1045
-
25)
-
S. Arik ,
V. Tavsanoglu
.
On the global asymptotic stability of delayed cellular neural networks.
IEEE Trans. Circuits Syst. I
,
4 ,
571 -
574
-
26)
-
T.G. Chu
.
A decomposition approach to analysis of competitive–cooperative neural networks with delay.
Phys. Lett. A
,
339 -
347
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta_20060056
Related content
content/journals/10.1049/iet-cta_20060056
pub_keyword,iet_inspecKeyword,pub_concept
6
6