Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks

Chaos, Solitons and Fractals

Volumn 38, Issue 5, 2008, Pages 1323-1331

  Lu, Jun Xiang ^a   Ma, Yichen ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; LYAPUNOV FUNCTIONS; STOCHASTIC SYSTEMS;

CONTRACTION THEORY; GOVERNING PARAMETERS; MEAN SQUARE EXPONENTIAL; MEAN SQUARE EXPONENTIAL STABILITY; PERIODIC SOLUTION; STOCHASTIC ANALYSIS; STOCHASTIC CELLULAR NEURAL NETWORKS; YOUNG INEQUALITY;

CELLULAR NEURAL NETWORKS;

EID: 50149114505     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.08.053     Document Type: Article

References (20)

1. Chua L.O., and Yang L. Cellular neural networks: theory. IEEE Trans Circ Syst 35 10 (1988) 1257-1272
2. Chua L.O., and Yang L. Cellular neural networks: applications. IEEE Trans Circ Syst 35 10 (1988) 1273-1290
3. Roska T., and Chua L.O. Int J Circ Theory Appl 20 (1992) 469
4. Roska T., Wu C.W., and Chua L.O. Stability of cellular neural networks with dominant nonlinear and delay-type templates. IEEE Trans Circ Syst Pt I 40 4 (1993) 270
5. Roska T., Wu C.W., and Balsi M. Stability dynamics of delay-type general cellular neural networks. IEEE Trans Circ Syst Pt I 39 6 (1992) 487
6. Gilli M. Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions. IEEE Trans Circ Syst Pt I 41 (1994) 518-528
7. Cao J. Stability analysis of delayed cellular neural networks. Neural Networks 11 9 (1998) 1601
8. Arik S. Equilibrium analysis of delayed CNNs. IEEE Trans Circ Syst Pt I 45 2 (1998) 168-171
9. Cao J. Phys Rev E 59 5 (1999) 5940
10. Mastsuoka K. Stability conditions for nonlinear continuous neural networks with asymmetric connection weights. Neural Networks 5 (1992) 495-500
11. Civalleri P.P. On stability of cellular neural networks with delay. IEEE Trans Circ Syst 40 3 (1993) 157
12. Liao X.X. Sci China Ser A 24 10 (1994) 1037
13. Wang Z., et al. IEEE Trans Neural Networks 17 (2006) 814-820
14. Wan L., and Sun J. Mean square exponential stability of stochastic delayed Hopfield neural networks. Phys Lett A 343 (2006) 306-318
15. Wang Z., et al. Robust stability for stochastic delay neural networks with time delays. Nonlin Anal: Real World Appl 7 (2006) 1119-1128
16. Blythe S., Mao X., and Liao X. Stability of stochatic delay neural networks. J Franklin Inst 338 (2001) 481-495
17. Wang Z., et al. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitions & Fractals 32 (2007) 62-72
18. Liao X., and Mao X. Exponential stability and instability of stochastic neural networks. Stochast Anal Appl 14 2 (1996) 165-185
19. Cao J. New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Phys Lett A 307 (2003) 36C147
20. Mao X. Stochastic differential equations and application (1997), Ellis Horwood