Existence and exponential stability of almost periodic solution for stochastic cellular neural networks with delay

Chaos, Solitons and Fractals

Volumn 42, Issue 2, 2009, Pages 773-780

  Huang, Zaitang ^a,b   Yang, Qi Gui ^a  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b Key Laboratory of Image Processing and Intelligent Information System   (China)

Author keywords

[No Author keywords available]

Indexed keywords

SIGNAL PROCESSING; STABILITY CRITERIA; STOCHASTIC SYSTEMS;

ALMOST PERIODIC; ALMOST PERIODIC SOLUTIONS; BIOLOGICAL NEURAL SYSTEMS; EXISTENCE AND UNIQUENESS; FIXED POINTS; GLOBAL EXPONENTIAL STABILITY; HOLDER'S INEQUALITY; STOCHASTIC CELLULAR NEURAL NETWORKS;

CELLULAR NEURAL NETWORKS;

EID: 67649850493     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.02.008     Document Type: Article

References (20)

1. Hopfield J. Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci USA Biophys 81 (1984) 3088-3092
2. Chua L.O., and Yang L. Cellular networks: theory. IEEE Trans Syst 35 (1988) 1257-1272
3. Marcus C.M., and Westervelt R.M. Stability of analog neural networks with delay. Phys Rev A 39 (1989) 347-359
4. Cohen M., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybern 13 (1983) 815-826
5. Cao J., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans Neural Netw 13 (2002) 457-463
6. Huang H., Ho D.W.C., and Qu Y. Robust stability of stochastic delayed additive neural networks with Markovian switching. Neural Netw 20 (2007) 799-809
7. Lu J.-X., and Ma Y. Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks. Chaos Soliton Fract 38 (2008) 1323-1331
8. Blythe S., Mao X., and Liao X. Sability of stochastic delay neural networks. J Franklin Inst 338 (2001) 481-495
9. Huang H., Ho D.W.C., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans 52 (2005) 251-265
10. Wang Z., Lauria S., Fang J., and Liu X. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos Soliton Fract 32 (2007) 62-72
11. Zhang H., and Xia Y. Existence and exponential stability of almost periodic solution for Hopfield-type neural networks with impulse. Chaos Soliton Fract 37 (2008) 1076-1082
12. Xia Y., Cao J., and Huang Z. Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses. Chaos Soliton Fract 34 (2007) 1599-1607
13. Cao J., Feng G., and Wang Y. Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions. Physica D 237 (2008) 1734-1749
14. Cheng C.Y., Lin K.H., and Shih C.W. Multistability and convergence in delayed neural networks. Physica D 225 (2007) 61-74
15. Arnold L., and Tudor C. Stationary and almost periodic solutions of almost periodic affine stochastic differential equations. Stochast Stochast Rep 64 (1998) 177-193
16. Corduneanu C. Almost periodic functions. 2nd ed. (1989), Chelsea, New York
17. Slutsky E. Sur les fonctions aleatoires presque periodiques et sur la decomposition des func- tions aleatoires. Actual Sci Ind 738 (1938) 33-55
18. Bezandry P.H. Existence of almost periodic solutions to some functional integro-differential stochastic evolution equations. Stat Probabil Lett 78 (2008) 2844-2849
19. Bezandry P., and Diagana T. Existence of almost periodic solutions to some stochastic differential equations. Appl Anal 117 (2007) 1-10
20. Burton T.A. Stability and periodic solutions of ordinary and functional differential equations (1985), Academic, New York