Periodic solution for fuzzy Cohen-Grossberg bam neural networks with both time-varying and distributed delays and variable coefficients

Neural Processing Letters

Volumn 40, Issue 1, 2014, Pages 51-73

  Yang, Wengui ^a  

^a Sanmenxia Polytechnic   (China)

Author keywords

BAM neural networks; Cohen Grossberg neural networks; Contraction mapping principle; Fuzzy cellular neural networks; Global exponential stability; Periodic solution

Indexed keywords

ASSOCIATIVE PROCESSING; BANACH SPACES; TIME VARYING NETWORKS;

BAM NEURAL NETWORK; COHEN-GROSSBERG NEURAL NETWORKS; CONTRACTION MAPPING PRINCIPLES; FUZZY CELLULAR NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; PERIODIC SOLUTION;

FUZZY NEURAL NETWORKS;

EID: 84903764155     PISSN: 13704621     EISSN: 1573773X     Source Type: Journal    
DOI: 10.1007/s11063-013-9310-0     Document Type: Article

References (46)

1. Kosko B (1987) Adaptive bi-directional associative memories. Appl Opt 26:4947-4960
2. Kosko B (1988) Bi-directional associative memories. IEEE Trans Syst Man Cybern 18:49-60
3. Liu Y, Tang W (2006) Existence and exponential stability of periodic solution for BAM neural networks with periodic coefficients and delays. Neurocomputing 69:2152-2160
4. Liu Y, Wang Z, Liu X (2009) On global stability of delayed BAM stochastic neural networks with Markovian switching. Neural Process Lett 30:19-35
5. Park J (2006) A novel criterion for global asymptotic stability of BAM neural networks with time delays. Chaos Solit Fract 29:446-453
6. Li Y, Gao S (2010) Global exponential stability for impulsive BAM neural networks with distributed delays on time scales. Neural Process Lett 31:65-91
7. Park J, Kwon O (2008) On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays. Appl Math Comput 199:435-446
8. Park J et al (2008) A new stability criterion for bidirectional associative memory neural networks of neutral-type. Appl Math Comput 199:716-722
9. Park J, Kwon O (2009) Delay-dependent stability criterion for bidirectional associative memory neural networks with interval time-varying delays. Mod Phys Lett B 23:35-46
10. Li Y (2005) Global exponential stability of BAM neural networks with delays and impulses. Chaos Solit Fract 24:279-285
11. Li Y, Yang C (2006) Global exponential stability analysis on impulsive BAM neural networks with distributed delays. J Math Anal Appl 324:1125-1139
12. Park J (2006) Robust stability of bidirectional associative memory neural networks with time delays. Phys Lett A 349:494-499
13. Park J, Lee S, Kwon O (2009) On exponential stability of bidirectional associative memory neural networks with time-varying delays. Chaos Solit Fract 39:1083-1091
14. Xia Y, Huang Z, Han M (2008) Existence and global exponential stability of equilibrium for BAM neural networks with impulses. Chaos Solit Fract 37:588-597
15. Cohen M, Grossberg S (1983) Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybern 13:815-826
16. Song Q, Cao J (2006) Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays. J Comput Appl Math 197:188-203
17. Cao J, Song Q (2006) Stability in Cohe-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Nonlinearity 19:1601-1617
18. Li K et al (2010) Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays. Appl Math Comput 215:3970-3984
19. Li Y, Fan X (2009) Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients. Appl Math Model 33:2114-2120
20. Cao J, Liang J (2004) Boundedness and stability for Cohen-Grossberg neural network with timevarying delays. J Math Anal Appl 296:665-685
21. Chen T, Rong L (2003) Delay-independent stability analysis of Cohen-Grossberg neural networks. Phys Lett A 317:436-449
22. Cao J, Li X (2005) Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Phys D 212:54-65
23. Xiang H, Wang J, Cao J (2009) Almost periodic solution to Cohen-Grossberg-type BAM networks with distributed delays. Neurocomputing 72:3751-3759
24. Tian A et al (2010) Existence and exponential stability of periodic solution for a class of Cohen-Grossberg-type BAM neural networks. Neurocomputing 73:3147-3159
25. Song Q, Cao J (2007) Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays. IEEE Trans Syst Man Cybern B 37:733-741
26. Xiang H, Cao J (2008) Periodic oscillation of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients. J Appl Math Article ID 453627:18. doi: 10.1155/2008/453627
27. Yang T et al (1996) Fuzzy cellular neural networks: theory. In: Proceedings of the IEEE international workshop cellular neural networks applications, pp 181-186
28. Yang T et al (1996) Fuzzy cellular neural networks: applications. In: Proceedings of the IEEE international workshop cellular neural networks applications, pp 225-230
29. Yuan K, Cao J, Deng J (2009) Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays. Neurocomputing 69:1619-1627
30. Li C, Li Y, Ye Y (2010) Exponential stability of fuzzy Cohen-Grossberg neural networks with time delays and impulsive effects. Commun Nonlinear Sci Numer Simul 15:3599-3606
31. Zhang Q, Xiang R (2008) Global asymptotic stability of fuzzy cellular neural networks with time-varying delays. Phys Lett A 372:3971-3977
32. Huang Y, Huang Y, Li C (2008) Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays. Neurocomputing 71:3064-3069
33. Balasubramaniam P et al (2011) Delay dependent stability results for fuzzy BAM neural networks with Markovian jumping parameters. Expert Syst Appl 38:121-130
34. Tan M (2010) Global asymptotic stability of fuzzy cellular neural networks with unbounded distributed delays. Neural Process Lett 31:147-157
35. Li X et al (2011) Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. J Frankl Inst 348:135-155
36. Xiang H, Wang J (2009) Exponential stability and periodic solution for fuzzy BAM Neural networks with time varying delays. Appl Math J Chin Univ Ser A 24:157-166
37. Xiang H, Cao J (2009) Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays. Neurocomputing 72:1702-1711
38. Syed Ali M, Balasubramaniam P (2009) Robust stability of uncertain fuzzy Cohen-Grossberg BAM neural networks with time-varying delays. Expert Syst Appl 36:10583-10588
39. Zhang X, Li K (2010) Stability analysis of impulsive BAM fuzzy cellular neural networks with distributed delays and reaction-diffusion terms. Intern J Comput Math Sci 4:112-122
40. Zhang Q et al (2011) Existence and globally exponential stability of equilibrium for fuzzy BAM neural networks with distributed delays and impulse. Adv Differ Equ 2011:8
41. Sakthivel R et al (2011) Robust passivity analysis of fuzzy Cohen-Grossberg BAM neural networks with time-varying delays. Appl Math Comput 218:3799-3809
42. Hale J, Verduyn Lunel SM (1993) Introduction to functional differential equations. Springer, New York
43. Guo S et al (2003) Global existence of periodic solutions of BAM neural networks with variable coefficients. Phys Lett A 317:96-106
44. LaSalle JP (1976) The stability of dynamical system. SIAM, Philadelphia
45. Horn RA, Johnson CR (1990) Matrix analysis. Cambridge University Press, London
46. Yang T, Yang L (1996) The global stability of fuzzy cellular neural network. IEEE Trans Circ Syst 43:880-883