Exponential p-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays

Mathematics and Computers in Simulation

Volumn 79, Issue 5, 2009, Pages 1698-1710

  Wang, Xiaohu ^a   Guo, Qingyi ^a,b   Xu, Daoyi ^a  

^a SICHUAN UNIVERSITY   (China)

^b Kangding Teacher's College   (China)

Author keywords

Exponential p stability; Impulsive; L operator inequality; Mixed delays; Stochastic

Indexed keywords

UNMANNED AERIAL VEHICLES (UAV);

EXPONENTIAL P-STABILITY; IMPULSIVE; L-OPERATOR INEQUALITY; MIXED DELAYS; STOCHASTIC;

NEURAL NETWORKS;

EID: 57649104873     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2008.08.008     Document Type: Article

References (34)

1. Arbib M. Branins, Machines, and Mathematics (1987), Springer Verlag, New York
2. Bainov D., and Simeonov P. Systems with Impulse Effect: Stability Theory and Applications (1989), Ellis Horwood Limited, Chichester
3. Ballinger G., and Liu X. Existence and uniqueness results for impulsive delay differential equations. Dyn. Contin. Discrete Impulsive Syst. 5 (1999) 579-591
4. Berman A., and Plemmons R. Nonnegative Matrices in Mathematical Sciences (1979), Academic, New York
5. Cao J., and Liang J. Boundedness and stability for Cohen-Grossberg neural network with time-varying delays. J. Math. Anal. Appl. 296 (2004) 665-685
6. Chen Z., and Ruan J. Global dynamic analysis of general Cohen-Grossberg neural networks with impulse. Chaos Soliton. Fract. 32 (2007) 1830-1837
7. Cohen M., and Grossberg S. Absolute stability of global pattern formulation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet. SMC-13 (1983) 815-826
8. Gopalsamy K., and He X. Delayed-independent stability in bidirectional associative memory networks. IEEE Trans. Neural Netw. 5 6 (1994) 998-1002
9. Z. Gui, X. Yang, W. Ge, Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays, Math. Comput. Simul. 79 (2008) 14-29.
10. Haykin S. Neural Networks (1994), Prentice-Hall, NJ
11. Haykin S. Neural Networks: A Comprehensive Foundation (1998), Prentice-Hall, Englewood Cliffs
12. Horn R., and Johnson C. Matrix Analysis (1985), Cambridge University Press
13. Huang C., Huang L., and Yuan Z. Global stability analysis of a class of delayed cellular neural networks. Math. Comput. Simul. 70 (2005) 133-148
14. Lakshmikantham V., Bainov D., and Simeonov P. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
15. Li X., and Cao J. Exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays. LNCS (2005) 162-167
16. Lu K., Xu D., and Yang Z. Global attraction and stability for Cohen-Grossberg neural networks with delays. Neural Netw. 19 (2006) 1538-1549
17. R. Rakkiyappan, P. Balasubramaniam, Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays, Appl. Math. Comput. 198 (2008) 526-533.
18. Song Q., and Cao J. Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays. J. Comput. Appl. Math. 197 (2006) 188-203
19. Song Q., and Cao J. Global exponential stability of bidirectional associative memory neural networks with distributed delays. J. Comput. Appl. Math. 202 (2007) 266-279
20. Song Q., and Zhang J. Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays. Nonlinear Anal. Real World Appl. 9 (2008) 500-510
21. W. Su, Y. Chen, Global robust stability criteria of stochastic Cohen-Grossberg neural networks with discrete and distributed time-varying delays, Commun. Nonlinear Sci. Numer. Simul. 14 (2009) 520-528.
22. Sun Y., and Cao J. pth moment exponential stability of stochastic recurrent neural networks with time-varying delays. Nonlinear Anal. Real World Appl. 8 (2007) 1171-1185
23. Wan L., and Sun J. Mean square exponential stability of stochastic delayed Hopfield neural networks. Phys. Lett. A 343 (2005) 306-318
24. Xu D., and Yang Z. Impulsive delay differential inequality and stability of neural networks. J. Math. Anal. Appl. 305 (2005) 107-120
25. Xu D., Zhu W., and Long S. Global exponential stability of impulsive integro-differential equation. Nonlinear Anal. 64 (2006) 2805-2816
26. Yang T. Impulsive Systems and Control: Theory and Application (2001), Nova Science Publishers, New York
27. Yang Z., and Xu D. Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. Appl. Math. Comput. 177 (2006) 63-78
28. Yang Z., Xu D., and Xiang L. Exponential p-stability of impulsive stochastic dfferential equations with delaysl. Phys. Lett. A 359 (2006) 129-137
29. Yuan K., and Cao J. An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis. IEEE Trans. Circuits Syst. I 52 9 (2005) 1854-1861
30. Zhao H., and Ding N. Dynamic analysis of stochastic Cohen-Grossberg neural networks with time delays. Appl. Math. Comput. 183 (2006) 464-470
31. Zhao H., and Ding N. Dynamic analysis of stochastic bidirectional associative memory neural networks with delays. Chaos Soliton. Fract. 321 (2007) 1692-1702
32. Zhao H., and Wang L. Hopf bifurcation in Cohen-Grossberg neural network with distributed delays. Nonlinear Anal. Real World Appl. 8 (2007) 73-89
33. Zhao W., and Tan Y. Harmless delays for global exponential stability of Cohen-Grossberg neural networks. Math. Comput. Simul. 74 (2007) 47-57
34. Zhu E., et al. pth moment exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays. Neural Process Lett. 26 (2007) 191-200