A unified treatment for stability preservation in computer simulations of impulsive BAM networks

Computers and Mathematics with Applications

Volumn 55, Issue 9, 2008, Pages 2043-2063

  Mohamad, Sannay ^a   Gopalsamy, K ^b  

^a UNIVERSITI BRUNEI DARUSSALAM   (Brunei Darussalam)

^b FLINDERS UNIVERSITY   (Australia)

Author keywords

Computer simulations; Exponential stability; Impulsive BAM networks; Lyapunov exponent; Semi discretisation

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; LYAPUNOV FUNCTIONS; PARAMETER ESTIMATION;

IMPULSIVE BAM NETWORKS; LYAPUNOV EXPONENT; SEMI DISCRETISATION;

ASSOCIATIVE PROCESSING;

EID: 41149134765     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.08.047     Document Type: Article

References (25)

1. Huang Z., Wang X., 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
2. Li Y. Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks. Electron. J. Differential Equations 32 (2006) 1-21
3. Li Y. Global stability and existence of periodic solutions of discrete delayed cellular neural networks. Phys. Lett. A 333 (2004) 51-61
4. Liang J., Cao J., and Ho D.W.C. Discrete-time bidirectional associative memory neural networks with variable delays. Phys. Lett. A 335 (2005) 226-234
5. Liang J., Cao J., and Lam J. Convergence of discrete-time recurrent neural networks with variable delay. Int. J. Bifur. Chaos 15 (2005) 581-595
6. Liang J., and Cao J. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Chaos Solitons Fractals 22 (2004) 773-785
7. Mohamad S. Global exponential stability in discrete-time analogues of delayed cellular neural networks. J. Difference Equ. Appl. 9 (2003) 559-575
8. Mohamad S., and Gopalsamy K. Exponential stability of continuous-time and discrete-time cellular neural networks with discrete delays. Appl. Math. Comput. 135 (2003) 17-38
9. Mohamad S., and Naim A.G. Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks. J. Comput. Appl. Math. 138 (2002) 1-20
10. Mohamad S. Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Physica D 159 (2001) 233-251
11. Mohamad S., and Gopalsamy K. Dynamics of a class of discrete-time neural networks and their continuous-time counterparts. Math. Comput. Simul. 53 (2000) 1-39
12. Sun C., and Feng C.B. Discrete-time analogues of integrodifferential equations modeling neural networks. Phys. Lett. A 334 (2005) 180-191
13. Sun C., and Feng C.B. Exponential periodicity of continuous-time and discrete-time neural networks with delays. Neural Proc. Lett. 19 (2004) 131-146
14. Akça H., Alassar R., Covachev V., and Covacheva Z. Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses. Dyn. Syst. Appl. 13 (2004) 77-92
15. Covachev V., Akça H., Covacheva Z., and Al-Zahrani E. A discrete counterpart of a continuous-time additive Hopfield-type neural network with impulses in an integral form. Stud. Univ. Žilina Math. Ser. 17 (2003) 11-18
16. Gopalsamy K. Stability of artificial neural networks with impulses. Appl. Math. Comput. 154 (2004) 783-813
17. Mohamad S. Computer simulations of exponentially convergent networks with large impulses. Math. Comput. Simul. (2007) 10.1016/j.matcom.2007.02.012
18. Forti M., and Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans. Circuits Syst. I: Fund. Theory Appl. 42 (1995) 354-366
19. Akça H., Alassar R., Covachev V., Covacheva Z., and Al-Zahrani E. Continuous-time additive Hopfield-type neural networks with impulses. J. Math. Anal. Appl. 290 (2004) 436-451
20. Li Y., Xing W., and Lu L. Existence and global exponential stability of periodic solution of a class of neural networks with impulses. Chaos Solitons Fractals 27 (2006) 437-445
21. Li Y. Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24 (2005) 279-285
22. Li Y., and Lu L. Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses. Phys. Lett. A 333 (2004) 62-71
23. Lou X.Y., and Cui B.T. Global asymptotic stability of delay BAM neural networks with impulses. Chaos Solitons Fractals 29 (2006) 1023-1031
24. Wang Y., Xiong W., Zhou Q., Xiao B., and Yu Y. Global exponential stability of cellular neural networks with continuously distributed delays and impulses. Phys. Lett. A 350 (2006) 89-95
25. Yang X., Liao X., Evans D.J., and Tang Y. Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays. Phys. Lett. A 343 (2005) 108-116