Biomedical Engineering Reference
In-Depth Information
Popov, V.M. (1979). Monotonicity and Mutabil-
ity. Journal of Differential Equations , 31 (3),
337-358.
Applied Informatics , 6 (3), (pp. 11-15). Romania:
Bucharest, Romanian Society of Control Engi-
neering and Technical Informatics.
Răsvan, V. (1998). Dynamical Systems with Se-
veral Equilibria and Natural Lyapunov Functions,
Archivum mathematicum , 34 (1), [EQUADIFF
9], 207-215.
Halanay, A. (1967). Invariant manifolds for sys-
tems with time lag. In Hale & La Salle (Eds.) Dif-
ferential and dynamical systems . (pp. 199-213),
U.S.A.: New York, Academic Press.
Răsvan, V. & Danciu, D. (2004). Neural networks
- global behavior versus delay. In Periodica Po-
litechnica, University of Timişoara, Transactions
on Automatic Control and Computer Science,
49 (63), No. 2, (pp. 11-14). Romania: Timişoara,
Politehnica Publishers House.
Halanay, A. (1969). Almost periodic solutions
for a class of linear systems with time lag, Revue
Roumaine de Mathematiques Pures et Appliquees ,
14 (9), 1269-1276.
Halanay, A. (1971). For and against Lyapunov
functions, Symposia Mathematica , 6 , 167-175.
Vogels, T.P., Rajan, K. & Abbott L.F. (2005).
Neural Network Dynamics. Annual Reviews of
Neuroscience , 28 , 357-376.
Halanay, A. & Răsvan, V. (1991). Absolute stability
of feedback systems with several differentiable
non-linearities, International Journal of Systems
Science , 22 (10), 1911-1927.
ADDITIONAL READING
La Salle, J.P. (1967). An invariance principle in
the theory of stability. In J.P. La Salle & J.K. Hale
(Ed.) Differential Equations and Dynamical Sys-
tems (pp. 277-286), USA: New York, Academic
Press.
Danciu, D. (1998). Stability of a Bidirectional
Associative Memory System, Proceedings of
International Symposium on System Theory, Ro-
botics, Computers & Process Informatics, SINTES
9 , vol. 1, System Theory, (pp. 54-59).
La Salle, J.P. (1968). Stability Theory for Ordinary
Differential Equations. Journal of Differential
Equations 4 (1), 57-65.
Danciu, D. & Răsvan, V. (2001) . Steady state
“almost linear” behavior of delayed Hopfield
type neural networks. In I. Dumitrache & C.
Buiu (Eds.), Proceedings of the 13 th International
Conference on Control Systems and Computer
Science, CSCS13, (pp. 210-213). Romania: Bu-
charest, Politehnica Press.
Noldus, E. & Loccufier, M. (1995). A new trajec-
tory reversing method for the estimation of as-
ymptotic stability regions. International Journal
on Control , 61 (4), 917-932.
Răsvan, V. (2002). Popov Theories and Qualita-
tive Behavior of Dynamic and Control Systems,
European Journal on Control , 8 (3), 190-199.
Danciu, D. (2002). Time Delays and Oscillations
in Neural Networks. In S. Holban (Ed.), Periodica
Politechnica, University of Timişoara, Transacti-
ons on Automatic Control and Computer Science,
47 (61), No. 1, (pp. 131-134), Romania: Timişoara,
Politehnica.
Popov, V. M. (1981). Monotone-Gradient Sys-
tems. Journal of Differential Equations , 41 (2),
245-261.
Timme M., Geisel, T. & Wolf, F. (2006). Speed of
synchronization in complex networks of neural
oscillators: Analytic results based on Random
Matrix Theory. Chaos , 16 (1), 015108.
Danciu, D. & Răsvan, V. (2004). On the Stability
of the Cellular Neural Networks with Time-Lags.
In I. Dumitrache (Ed.), Control Engineering and
Search WWH ::




Custom Search