Stability analysis of BAM neural networks with inertial term and time delay

WSEAS Transactions on Systems

Volumn 10, Issue 12, 2011, Pages 425-438

  Ke, Yunquan ^a   Miao, Chunfang ^a  

^a SHAOXING UNIVERSITY   (China)

Author keywords

BAM neural networks; Exponential stability; Halanay inequality; Inertial term; Lyapunov functional

Indexed keywords

BAM NEURAL NETWORK; FUNDAMENTAL SOLUTIONS; GLOBAL EXPONENTIAL STABILITY; GLOBALLY EXPONENTIAL STABILITY; HALANAY INEQUALITY; INERTIAL TERM; LYAPUNOV FUNCTIONALS; STABILITY ANALYSIS; VARIABLE SUBSTITUTION;

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; TIME DELAY;

NEURAL NETWORKS;

EID: 84858669090     PISSN: 11092777     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Kosto, B., 1987, Adaptive bi-directional associative memories, Appl. Optim., Vol. 26, pp. 4947-4960.
2. Kosto, B.,1988, Bi-directional associative memories, IEEE Trans. Systems Man. Cyber net., Vol. 18, pp. 49-60.
3. Kosto, B., 1992, Neural networks and Fuzzy Systems-a Dynamical system Approach Machine Intelligence, Prentice Hall. Englewood Cliffs, NJ., pp. 38-108.
4. Zhao, H.Y., 2002, Global stability of bidirectional associative memory neural networks with distributed delays, Phys. Lett. A, Vol. 297, pp.182-190.
5. Zhang,J., Yang, Y., 2001, Global stability analysis of bi-directional associative memory neural networks with time delays, Int J Circuit Theor Appl., Vol.299, pp. 185-196. (Pubitemid 33034075)
6. Cao, J.,Dong, M., 2003, Exponential stability of delayed bi-directional associative memory neural networks, Appl. Math. Comput., Vol. 142, pp.333-339.
7. Cao, J., Wang,L. 2002, Exponential stability and periodic oscillatory solution in BAM networks with delays, IEEE Trans neural Networks, Vol.139, pp. 457-463. (Pubitemid 34475046)
8. Cao, J., Wang,L., 2000, Periodic oscillatory solution of bidirectional associative memory neural networks with delays, Phys Rev E.,Vol.61, pp. 1825-1828.
9. Song, Q., Cao, J., 2005, Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms, Chaos ,solitons and Fractals, Vol. 23, pp.421-430.
10. Song, Q., Cao, J., 2007, Dynamics of bidirectional associative memory networks with delays and reaction-diffusion terms, Nonlinear Analysis, Vol. 8, pp. 345-361. (Pubitemid 44584805)
11. Song, Q., Cao, J., Li, Y.m., 2005, Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms, Phys. Lett. A, Vol. 335, pp. 231-225.
12. Badcock, K.L., Westervelt, R.M., 1987, Dynamics of simple electronic neural networks, Physica D, Vol.28, pp. 305-316. (Pubitemid 18530428)
13. Tani, J., 1992, Proposal of chaotic steepest descent method for neural networks and analysis of their dynamics, Electron. Comm. Japan, Vol. 75(4), pp. 62-70. (Pubitemid 23635710)
14. Tani, J., Fujita, M., 1992, Coupling of memory search and mental rotation by a non equilibrium dynamics neural network, IEICE Trans. Fund. Electron., Commun. Comput. Sci. E75-A (5), pp. 578-585.
15. Tani,J., 1996, Model-based learning for mobile robot navigation from the dynamical systems perspective, IEEE Trans. Systems Man Cybernet, Vol. 26 (3), pp.421-436. (Pubitemid 126784503)
16. Neri F., 2005, Cooperative evolutive concept learning: an empirical study, WSEAS Transaction on Information Science and Applications, WSEAS Press, issue 5, Vol. 2, pp. 559-563. (Pubitemid 40948046)
17. Li, C.G., Chen, G.R., Liao, X.F., Yu, J.B., 2004, Hopf bifurcation and chaos in a single inertial neuron model with time delay. Eur.Phys. J. B., Vol. 41, pp. 337-343.
18. Liu, Q., Liao, X.F., Wang, G.Y., Wu, Y., 2006, Research for Hopf bifurcation of an inertial two -neuron system with time delay, in: IEEE Proceeding GRC. pp. 420-423. (Pubitemid 44761939)
19. Liu, Q., Liao, X.F., Yang, D.G., Guo, S.T.,2007, The research for Hopf bifurcation in a single inertial neuron model with external forcing, in: IEEE Proceeding GRC. pp. 528-533.
20. Liu, Q., Liao, X., Liu, Y., Zhou, S., Guo, S., 2009, Dynamics of an inertial two-neuron system with time delay. Nonlinear Dyn., Vol. 58, pp. 573-609.
21. Liu, Q., Liao, X., Guo, S., Wu, Y., 2009, Stability of bifurcating periodic solutions for a single delayed inertial neuron model under periodic excitation. Nonlinear Analysis: Real World Applications, Vol. 10, pp. 2384-2395
22. Forti, M., Tesi, A., 1995, New conditions for global stability of neural networks with application to linear and quadratic programming probems, IEEE Trans. Circuits Syst.I., Vol. 42, pp.354-366.
23. Halanay, A., 1996, Differential equations. Academic Press, New York.