Corrigendum to "Exponential p-stability of second order Cohen-Grossberg neural networks with transmission delays and learning behavior" [Simulation Modelling Practice and Theory 15 (2007) 622-634] (DOI:10.1016/j.simpat.2006.12.003);Exponential p-stability of second order Cohen-Grossberg neural networks with transmission delays and learning behavior

Simulation Modelling Practice and Theory

Volumn 15, Issue 6, 2007, Pages 622-634

  Huang, Zhenkun ^a,b   Xia, Yonghui ^c  

^a ZHEJIANG UNIVERSITY   (China)

^b JIMEI UNIVERSITY   (China)

^c FUZHOU UNIVERSITY   (China)

Author keywords

Cohen Grossberg neural networks; Exponential p stability; Learning behavior; Second order

Indexed keywords

COMPUTER SIMULATION; LEARNING ALGORITHMS; NUMERICAL METHODS; SYSTEM STABILITY;

COHEN GROSSBERG NEURAL NETWORKS; LEARNING BEHAVIOR; TRANSMISSION DELAYS;

NEURAL NETWORKS;

EID: 34249290385     PISSN: 1569190X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.simpat.2007.11.007     Document Type: Erratum

References (47)

1. Cohen M., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet SMC-13 (1983) 815-826
2. Cao J., Liang J., and Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D 199 (2004) 425-436
3. Wang L., and Zou X. Exponential stability of Cohen-Grossberg neural network. Neural Networks 15 (2002) 415-422
4. Wang L., and Zou X. Harmless delays in Cohen-Grossberg neural networks. Physica D 170 (2002) 162-173
5. Chen T.P., and Rong L.B. Delay independent stability analysis of Cohen-Grossberg neural networks. Phys. Lett. 317 (2003) 436-449
6. Chen T.P., and Rong L.B. Robust global exponential stability of Cohen-Grossberg neural networks with delays. IEEE Trans. Neural Networks 15 (2004) 203-206
7. Lu W., and Chen T. New conditions for global stability of Cohen-Grossberg neural networks. Neural Comput. 15 (2003) 1173-1189
8. Song Q., and Can J. Stability analysis of Cohen-Grossberg neural network with both time varying and continuously distributed delays. J. Comp. Appl. Math. 197 1 (2006) 188-203
9. Liao X.F., Li C.G., and Wong K.W. Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Networks 17 (2004) 1401-1414
10. Yuan K., and Cao J. An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via non-smooth analysis. IEEE Trans. Circ. Syst. I 52 (2005) 1854-1861
11. Rong L. LMI-based criteria for robust stability of Cohen-Grossberg neural networks with delay. Phys. Lett. A 339 (2005) 63-73
12. Ye H., Michel A.N., and Wang K.N. Qualitative analysis of Cohen-Grossberg neural networks with multiple delays. Phys. Rev. E 51 (1995) 2611-2618
13. Abu-Mostafa Y., and Jacques J. Information capacity of the Hopfield model. IEEE Trans. Inform. Theory 31 (1985) 461-464
14. McEliece R., Posner E., Rodemich E., and Venkatesh S. The capacity of the Hopfield associative memory. IEEE Trans. Inform. Theory 33 (1987) 461-482
15. Baldi P. Neural networks, orientations of hypercube, and algebraic threshold functions. IEEE Trans. Inform. Theory 34 (1988) 523-530
16. Kamp Y., and Hasler M. Recursive Neural Networks for Associative Memory (1990), Wiley, New York
17. Simpson P.K. High ordered and intra-connected bidirectional associative memories. IEEE Trans. Syst. Man Cybern. 20 (1990) 637-653
18. Dembo A., Farotimi O., and Kailath T. High order absolutely stable neural networks. IEEE Trans. Neural Networks 38 (1991) 57-65
19. Guan Z.H., Sun D.B., and Shen J.J. Qualitative analysis of high order Hopfield neural networks. Acta Electron. Sin. 28 (2000) 77-80
20. Joya G., Atencia M.A., and Sandoval F. Hopfield neural networks for optimization: Study of the different dynamics. Neurocomputing 43 (2002) 219-237
21. Kosmatopoulos E.B., and Christodoulou M.A. Structural properties of gradient recurrent high order neural networks. IEEE Trans. Circ. Syst. II 42 (1995) 592-603
22. Kosmatopoulos E.B., Polycarpou M.M., Christodoulou M.A., and Ioannou P.A. High order neural network structures for identification of dynamical systems. IEEE Trans. Neural Networks 6 (1995) 422-431
23. Liu X., Teo K.L., and Xu B. Exponential stability of impulsive high-order Hopfield type neural networks with time varying delays. IEEE Trans. Neural Networks 16 (2005) 1329-1339
24. Psaltis D., Park C.H., and Hong J. High order associative memories and their optical implementations. Neural Networks 1 (1988) 149-163
25. Ren F., and Cao J. LMI-based criteria for stability of high order neural networks with time varying delay. Nonlin. Anal.: Real World Appl. 7 5 (2006) 967-979
26. Xu B.J., Liu X.Z., and Liao X.X. Global asymptotic stability high-order Hopfield type neural networks with time delays. Comput. Math. Appl. 45 (2003) 1729-1737
27. Xu B., Liu X., and Liao X. Global exponential stability of high order Hopfield type neural networks. Appl. Math. Comput. 174 1 (2006) 98-116
28. W.C. Daniel Ho, J.L. Liang, L. James. Global exponential stability of impulsive high-order BAM neural networks with time-varying delays. Neural networks, doi:10:1016/j.neunet.2006.02.006.
29. Amari S. Mathematical theory of neural learning. New Generation Comput. 8 (1991) 281-294
30. Amari S. Competitive and cooperative aspects in dynamics of neural excitation and self-organization. Lecture Notes in Biomath. 45 (1982) 1-28
31. Haykin S. Neural Networks (1999), Prentice Hall, New Jersey
32. Hebb D.O. The Organization of Behaviour (1949), John Wiley, New York
33. Kosko B. Neural Networks and Fuzzy Systems (1992), Prentice Hall, New Delhi
34. Lemmon M., and Kumar V. Emulating the dynamics for a class of laterally inhibited neural networks. Neural Networks 2 (1989) 193-214
35. Lu H., and He Z. Global exponential stability of delayed competitive neural networks with different time scales. Neural Networks 18 (2005) 243-250
36. Meyer-Baese A., Pilyugin S.S., and Chen Y. Global exponential stability of competitive neural networks with different time scales. IEEE Trans. Neural Networks 14 (2003) 716-719
37. Meyer-Baese A., Ohl F., and Scheich H. Singular perturbation analysis of competitive neural networks with different time scales. Neural Comput. 8 (1996) 545-563
38. Gopalsamy K. Second order neurons and learning in Cohen-Grossberg networks. Int J Neural Syst. 16 3 (2006) 179-189
39. Troyer T.W. Feedforward Hebbian learning with nonlinear output units: a Lyapunov Approach. Neural Networks 9 2 (1996) 321-328
40. Tseng H.C., and Šiljak D.D. A learning Scheme for dynamic neural networks: Equilibrium manifold and connective stability. Neural Networks 8 6 (1995) 853-864
41. K. Gopalsamy, Learning dynamics in second order networks, Nonlin. Anal.: Real World Applications, in press, doi:10.1016/j.nonrwa.2006.02.007.
42. Huang Z.K., Wang X.H., and Gao F. The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks. Phys. Lett. A 350 (2006) 182-191
43. Huang Z.K., and Chen F.D. Almost Periodic Solution of Two Species Model with Feedback Regulation and Infinite Delay. J. Eng. Math. 21 1 (2004) 33-40
44. Huang Z.K., and Chen F.D. A Predator-Prey system with viral infection and anorexia response. Appl. Math. Comput. 175 (2006) 1455-1483
45. Huang Z.K., Chen S.L., and Yong H.X. Incorporate intelligence into an ecological system: An adaptive fuzzy control approach. Appl. Math. Comput. 177 1 (2006) 243-250
46. Huang Z.K., and Chen S.L. Optimal fuzzy control of a poisoning-pest model. Appl. Math. Comput. 171 2 (2005) 730-737
47. F.D. Chen, X.Y. Liao, Z.K. Huang, The dynamic behavior of N-species cooperation system with continuous time delays and feedback controls, Appl. Math. Comput., doi:10.1016/j.amc.2006.02.007.