Global stability of neural networks with distributed delays

Neural Networks

Volumn 15, Issue 7, 2002, Pages 867-871

  Chen, Yuming ^a,b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b WILFRID LAURIER UNIVERSITY   (Canada)

Author keywords

Distributed delays; Global asymptotic stability; Lyapunov function; M matrix; Neural networks

Indexed keywords

ASYMPTOTIC STABILITY; DELAY CONTROL SYSTEMS; NEURAL NETWORKS;

GLOBAL STABILITY;

LYAPUNOV METHODS;

ARTICLE; EQUILIBRIUM CONSTANT; GLOBAL CHANGE; NERVE CELL NETWORK; PRIORITY JOURNAL; TIME;

ALGORITHMS; ANIMALS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; HUMANS; MODELS, NEUROLOGICAL; NEURAL NETWORKS (COMPUTER); TIME FACTORS;

EID: 0036754107     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(02)00039-4     Document Type: Article

References (13)

1. Arik S., Tavsanoglu V. Equilibrium analysis of delayed CNN's. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 45:1998;168-171.
2. Chua L.O., Roska T. World Congress of Nonlinear Analysis'92, Tampa, FL, 1992. World Congress of Nonlinear Analysis'92, Tampa, FL, 1992. Vol. I-IV:1996;de Gruyter, Berlin. pp. 2979-2990.
3. Forti M., Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 42:1995;354-366.
4. Gopalsamy K., He X. Delay-independent stability in bidirectional associative memory networks. IEEE Transactions on Neural Networks. 5:1994;998-1002.
5. Hale J. Theory of functional differential equations. 1977;Springer, New York.
6. Hopfield J. Neurons with graded response have collective computational properties like those of two-stage neurons. Proceedings of the National Academy of Science, USA. 81:1984;3088-3092.
7. Kennedy M.P., Chua L.O. Neural networks for nonlinear programming. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 35:1988;554-562.
8. Lu H. On stability of nonlinear continuous-time neural networks with delays. Neural Networks. 13:2000;1135-1143.
9. Marcus C.M., Westervelt R.M. Stability of analog neural networks with delay. Physical Review A. 39:1989;347-359.
10. Michel A.N., Farrell J.A., Porod W. Qualitative analysis of neural networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 36:1989;229-243.
11. Sree Hari Rao V., Phaneendra B.R.M. Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones. Neural Networks. 12:1999;455-465.
12. Sree Hari Rao V., Phaneendra B.R.M., Prameela V. Global dynamics of bidirectional associative memory networks with transmission delays. Differential Equations and Dynamical Systems. 4:1996;453-471.
13. Zhang J., Jin X. Global stability analysis in delayed Hopfield neural network models. Neural Networks. 13:2000;745-753.