Global exponential stability analysis on impulsive BAM neural networks with distributed delays

Journal of Mathematical Analysis and Applications

Volumn 324, Issue 2, 2006, Pages 1125-1139

  Li, Yao tang ^a   Yang, Chang bo ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

Bidirectional associative memory (BAM); Distributed delays; Global exponential stability; Impulses; Nonsingular M matrix

Indexed keywords

EID: 33749533792     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.01.016     Document Type: Article

References (18)

1. Kosko B. Bi-directional associative memories. IEEE Trans. Syst. Man Cybernet. 18 1 (1988) 49-60
2. G. Mathai, B.R. Upadhyaya, Performance analysis and application of the bidirectional associative memory to industrial spectral signatures, in: Proc. IJCNN'1989 (1), 1989, pp. 33-37
3. Gopalsamy K., and He X. Delay-independent stability in bi-directional associative memory neural networks. IEEE Trans. Neural Networks 5 (1994) 998-1002
4. Cao J. Global asymptotic stability of delayed bi-directional associative memory neural networks. Appl. Math. Comput. 142 (2003) 333-339
5. Liand J., and Cao J. Global asymptotic stability of delayed bi-directional associative memory networks with distributed delays. Appl. Math. Comput. 152 (2004) 415-424
6. Cao J., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. Neural Networks 13 (2002) 457-463
7. Cao J., and Wang L. Periodic oscillatory solution of bidirectional associative memory with delays. Phys. Lett. E 61 (2002) 1825-1828
8. Cao J., and Dong M. Exponential stability of delayed bidirectional associative memory networks. Appl. Math. Comput. 135 (2003) 102-117
9. Huang H., and Cao J. On global asymptotic stability of recurrent neural networks with time-varying delays. Appl. Math. Comput. 142 (2003) 143-154
10. Huang H., Ho D.W.C., and Cao J. Analysis of global exponential stability and periodic solutions of recurrent neural networks with time-varying delays. Neural Networks 18 (2005) 161-170
11. Liang J., and Cao J. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with time delays. Chaos Solitons Fractals 22 (2005) 773-785
12. Li Y. Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24 (2005) 279-285
13. 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
14. 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
15. Li Y., and Liu P. Existence and stability of positive periodic solution for BAM neural networks with delays. Math. Comput. Modelling 40 (2004) 757-770
16. Akca H., Alassar R., and Covachev V. Continuous-time additive Hopfield-type neural networks with impulses. J. Math. Anal. Appl. 290 (2004) 436-451
17. Xu D., and Yang Z. Impulsive delay differential inequality and stability of neural networks. J. Math. Anal. Appl. 305 (2005) 107-120
18. Horn R.A., and Johnson C.R. Topics in Matrix Analysis (1991), Cambridge Univ. Press, Cambridge, UK