Mean square stability analysis of impulsive stochastic differential equations with delays

Journal of Computational and Applied Mathematics

Volumn 216, Issue 2, 2008, Pages 474-483

  Yang, Jun ^a   Zhong, Shouming ^a   Luo, Wenpin ^b  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b SICHUAN UNIVERSITY OF SCIENCE AND ENGINEERING   (China)

Author keywords

Delay; Impulsive; Lyapunov Krasovskii functional; Mean square stability; Neural networks; Stochastic

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONAL ANALYSIS; LYAPUNOV FUNCTIONS; NEURAL NETWORKS;

MEAN SQUARE STABILITY; STOCHASTIC ANALYSIS THEORY;

RANDOM PROCESSES;

EID: 41949093866     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.05.022     Document Type: Article

References (17)

1. Blythe S., Mao X., and Liao X. Stability of stochastic delay neural networks. Franklin Inst. 338 (2001) 481-495
2. Huang L. Linear Algebra in Systems and Control (1984), Beijing Science Press, Beijing
3. Lakshmikantham V., Bainov D., and Simeonov P. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
4. Liao X.X., and Mao X.R. exponential stability and instability of stochastic neural networks. Stochastic Anal. Appl. 14 2 (1996) 165-168
5. Mao X. Stability of stochastic differential equations with Markovian switching. Stochastic. Process. Appl. 79 1 (1999) 45-67
6. Wang Q., and Liu X. Exponential stability for impulsive delay differentialequations by Razumikhin method. J. Math. Anal. Appl. 309 (2005) 462-473
7. Wang Z., Liu Y., and Fraser K. stochastic stability of uncertain hopfield neural networks with discrete and distributed delays. Phys. Lett. A 354 4 (2006) 288-297
8. Wu S., Han D., and Meng X. p-Moment stability of stochastic differential equations with jumps. Appl. Math. Comput. 152 (2004) 505-519
9. Wu H., and Sun J. p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching. Automatica 42 (2006) 1753-1759
10. Xu S., and Chen T. robust filtering for uncertain impulsive stochastic systems under sampled measurements. Automatica 39 (2003) 509-516
11. Xu S., Chen T., and Lam J. robust filtering for uncertain Markovian jump systems with mode-dependent time delays. IEEE Trans. Automat. Control 48 5 (2003) 900-907
12. Xu D., and Yang Z. impulsive delay differential inequality and stability of neural networks. J. Math. Anal. Appl. 305 (2005) 107-120
13. Xu D., Yang Z., and Yang Z. exponential stability of nonlinear impulsive neutral differential equations with delays. Nonlinear Anal. 67 5 (2006) 1426-1439
14. Yang Z., Xu D., and Xiang L. exponential p-stability of impulsive stochastic differential equations with delays. Phys. Lett. A 359 (2006) 129-137
15. Zhang Y., Shen Y., and Liao X. exponential stability for stochastic interval delayed Hopfield neural networks. Control Theory Appl. 20 5 (2003) 746-748
16. Zhang Y., and Sun J. Stability of impulsive neural networks with time delays. Phys. Lett. A 348 (2005) 44-50
17. Zhang Y., and Sun J. Stability of impulsive infinite delay differential equations. Appl. Math. Lett. 19 (2006) 1100-1106