On impulsive autoassociative neural networks

Neural Networks

Volumn 13, Issue 1, 2000, Pages 63-69

  Guan, Zhi Hong ^a   Lam, James ^b   Chen, Guanrong ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF HOUSTON   (United States)

Author keywords

Autoassociative neural networks; Equilibria; Impulsive differential equations; Stability

Indexed keywords

DIFFERENTIAL EQUATIONS; SYSTEM STABILITY;

AUTOASSOCIATIVE NEURAL NETWORKS; IMPULSIVE DIFFERENTIAL EQUATIONS;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; ASSOCIATION; DYNAMICS; IMPULSIVENESS; MATHEMATICAL MODEL; MODEL; PRIORITY JOURNAL;

MODELS, NEUROLOGICAL; NEURAL NETWORKS (COMPUTER);

EID: 0033967086     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(99)00095-7     Document Type: Article

References (24)

1. Ambrosetti A., Prodi G. A primer of nonlinear analysis. 1993;Cambridge University Press, New York.
2. Bainov D.D., Simeonov P.S. Stability theory of differential equations with impulse effects: theory and applications. 1989;Ellis Horwood, Chichester.
3. Carpenter G.A., Cohen M.A., Grossberg S. Computing with neural networks. Science. 235:1987;1226-1227.
4. Cohen M.A., Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Transactions on Systems, Man and Cybernetics. 13:1983;815-826.
5. Fang Y., Kincaid T.G. Stability analysis of dynamical neural networks. IEEE Transactions on Neural Networks. 7:1996;996-1006.
6. Gelig A.K., Churilov A.N. Stability and oscillations of nonlinear pulse-modulated systems. 1998;Birkhauser, Boston, Basel, Berlin.
7. Grossberg S. Some physiological and biochemical consequences of psychological postulates. Proceedings of the National Academy of Sciences. 60:1968;758-765.
8. Grossberg S. Pavlovian pattern learning by nonlinear neural networks. Proceedings of the National Academy of Sciences. 68:1971;828-831.
9. Grossberg S. Studies of mind and brain. 1982;Kluwer/Reidel, Amsterdam.
10. Grossberg S. Nonlinear neural networks: principles, mechanisms, and architectures. Neural Networks. 1:1988;17-61.
11. Guan Z.-H., Liu Y.-Q., Wen X.-C. Decentralized stabilization of singular and time-delay large-scale control systems with impulsive solutions. IEEE Transactions on Automatic Control. 40:1995;1437-1441.
12. Guez A., Protopopsecu V., Barhen J. On the stability, storage capacity and design of nonlinear continuous neural networks. IEEE Transactions on Systems, Man and Cybernetics. 18:1988;80-87.
13. Hopfield J.J. Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences. 79:1982;2554-2558.
14. Hopfield J.J. Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences. 81:1984;3088-3092.
15. Hou C., Qian J. Stability analysis for neural dynamics with time-varying delays. IEEE Transactions on Neural Networks. 9:1998;221-223.
16. Hunt K.J., Sbarbaro D., Zbikowski R., Gawthrop P.J. Neural networks for control systems - a survey. Automatica. 28:1992;1083-1112.
17. Lakshmikantham V., Bainov D.D., Simeonov P.S. Theory of impulse differential equations. 1989;World Scientific, Singapore.
18. Li J.H., Michel A.N., Porod W. Qualitative analysis and synthesis of a class of neural networks. IEEE Transactions on Circuits and Systems. 35:1988;976-985.
19. Liu Y.-Q., Guan Z.-H. Stability, stabilization and control of measure large-scale systems with impulses. 1996;The South China University of Technology Press, Guangzhou.
20. Matsuoka K. Stability conditions for nonlinear continuous neural networks with asymmetric connection weights. Neural Networks. 5:1992;495-499.
21. Michel A.N., Gray D.L. Analysis and synthesis of neural networks with lower block triangular interconnecting structure. IEEE Transactions on Circuits and Systems. 37:1990;1267-1283.
22. Pandit S.G., Deo S.G. Differential systems involving impulses. 1982;Springer, New York.
23. Si J., Michel A.N. Analysis and synthesis of a class of discrete-time neural networks with nonlinear interconnections. IEEE Transactions on Circuits and Systems (I). 41:1994;52-58.
24. Yang H., Dillon T.S. Exponential stability and oscillation of Hopfield graded response neural network. IEEE Transactions on Neural Networks. 5:1994;719-729.