ISNN 2013: Advances in Neural Networks – ISNN 2013 pp 178-185 | Cite as
Adaptive Synchronization for Stochastic Markovian Jump Neural Networks with Mode-Dependent Delays
Conference paper
Abstract
This paper studies the adaptive synchronization problem for a kind of stochastic Markovian jump neural networks with mode-dependent and unbounded distributed delays. By virtue of the Lyapunov stability theory and the stochastic analysis technique, a generalized LaSalle-type invariance principle for stochastic Markovian differential delay equations is utilized to investigate the globally almost surely asymptotical stability of the error dynamical system in the mean-square sense.
Keywords
Adaptive synchronization stochastic perturbation mode-dependent delay Markovian jumpPreview
Unable to display preview. Download preview PDF.
References
- 1.Arnold, L.: Stochastic Differential Equations: Theory and Applications. Wiley, New York (1972)Google Scholar
- 2.Liu, Z., Lv, S., Zhong, S., Ye, M.: pth moment exponential synchronization analysis for a class of stochastic neural networks with mixed delays. Commun. Nonlinear Sci. Numer. Simulat. 15, 1899–1909 (2010)MATHCrossRefGoogle Scholar
- 3.Mao, X.: Exponential stability of stochastic delay interval systems with Markovian switching. IEEE Trans. Autom. Contr. 47(10), 1604–1612 (2002)CrossRefGoogle Scholar
- 4.Mao, X.: A note on the LaSalle-type theorems for stochastic differential delay equations. J. Math. Anal. Appl. 268, 125–142 (2002)MathSciNetMATHCrossRefGoogle Scholar
- 5.Pecora, L., Carroll, T.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821–824 (1990)MathSciNetCrossRefGoogle Scholar
- 6.Zhang, Q., Lu, J.: Chaos synchronization of a new chaotic system via nonlinear control. Chaos, Solitons, Fractals 37, 175–179 (2008)CrossRefGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2013