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Danciu, D. & Răsvan, V. (2000). On Popov-type
stability criteria for neural networks.
Electronic
Journal on Qualitative Theory of Differential
Equations EJQTDE,
Proc. 6
th
Coll. QTDE 2000,
23
. http://www.math.uszeged.hu/ejqtde/6/623.
pdf
Fortuna, L., Arena, P., Balya, D. & Zarandy, A.
(2001). Cellular Neural Networks.
IEEE Circuits
and Systems Magazine
,
4
, 6-21.
Gelig, A. Kh., Leonov, G.A. & Yakubovich, V.A.
(1978).
Stability of nonlinear systems with non-
unique equilibrium state
. (in Russian) U.R.S.S.:
Moscow, Nauka Publishers House.
Danciu, D. & Răsvan, V. (2001). Gradient-like
behaviour for Hopfield-type neural networks with
delay. In I. Dumitrache & N. Constantin (Eds.),
Proceedings of the Third International Workshop
on Intelligent Control Systems, ICS'2001
, (pp.20-
24). Romania: Bucharest, Printech.
Gelig, A. Kh., Leonov, G.A. & Yakubovich, V.A.
(2004).
Stability of Stationary sets in Control Sys-
tems with Discontinuous Nonlinearities
. Series on
Stability, Vibration and Control of Systems, Series
A,
14
, World Scientific Publishing House.
Danciu, D. (2002). Qualitative behavior of the
time delay Hopfield type neural networks with
time varying stimulus.
Annals of The University
of Craiova
, Series: Electrical Engineering (Auto-
matics, Computers, Electronics)
26
, 72-82.
Gopalsamy, K. & He, X.Z. (1994). Stability in
asymmetric Hopfield nets with transmission
delays,
Physica D.
,
76
, 344-358.
Gu, K., Kharitonov, V.L. & Chen, J. (2003).
Sta-
bility of Time- Delay Systems
. U.S.A.: Boston,
Birkhäuser.
Danciu, D. & Răsvan, V. (2005). Stability Results
for Cellular Neural Networks with Time Delays.
In J. Cabestany, A. Prieto, F. Sandoval (Eds.)
,
Computational Intelligence and Bioinspired
Systems
. Lectures Notes in Computer Science,
3512
(pp. 366-373), Springer-Verlag. http://dx.doi.
org/10.1007/11494669_45
Guirguis, L.A., Ghoneimy, M.M.R.E. (2007).
Channel Assignment for Cellular Networks Based
on a Local Modified Hopfield Neural Network.
Wireless Personal Communications
, Springer
US,
41
(4), 539-550.
Danciu, D. (2006).
Systems with several equi-
libria. Applications to the neural networks.
(in
Romanian) Romania: Craiova, Universitaria
Publishers House.
Halanay, A., (1963).
Differential Equations. Stabil-
ity. Oscillations. Time Lags
. (in Romanian), Ro-
mania: Bucharest, Academia Publishers House.
Halanay, A. & Răsvan, V. (1993).
Applications of
Lyapunov Methods to Stability
, The Netherlands:
Dordrecht, Kluwer Academic Publishers.
Danciu, D. & Răsvan, V. (2007). Dynamics of
Neural Networks - Some Qualitative Properties.
In F. Sandoval, A. Prieto, J. Cabestany, M. Graña
(Eds.),
Computational and Ambient Intelligence.
Lectures Notes in Computer Science,
4507
(pp.
8-15), Springer-Verlag.
Hale J. K. & Verduyn Lunel, S. M. (1993).
Intro-
duction to Functional Differential Equations
.
Springer-Verlag.
Hardy G.H., Littlewood J.E. & Polya, G. (1934).
Inequalities
. Cambridge University Press.
Driessche van den, P. & Zou, X. (1998). Global
attractivity in delayed Hopfield neural network
models.
SIAM Journal of Applied Mathematics
,
58
, 1878-1890.
Hartman, P. (1964).
Ordinary Differential Equa-
tions
, Wiley, U.S.: NewYork.
Fink, W. (2004). Neural attractor network for ap-
plication in visual field data classification.
Physics
in Medicine and Biology
49
(13)
,
2799-2809.
Hirsch, M.W. (1988). Stability and convergence in
strongly monotone dynamical systems.
Journal
für Reine Angewandte Mathematik, 383
, 1-53.
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