Adaptive Exponential Synchronization of Stochastic Delay Neural Networks with Reaction-Diffusion

Zhao, Biao; Deng, Feiqi

doi:10.1007/978-3-642-01507-6_63

Cited by 4 publications

(2 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ma et al [37] investigated the synchronization problem for a class of stochastic reaction-diffusion neural networks with time-varying delays and Dirichlet boundary conditions in terms of 2-norm by using linear feedback control under the precondition that the derivative of the time-varying delay was smaller than one. Zhao and Deng studied the exponential synchronization of reaction-diffusion neural networks with continuously distributed delays and stochastic influence in terms of 2-norm based on adaptive control in [44]. In [40], by using the Lyapunov functional method, many real parameters and inequality techniques, the global exponential synchronization for a class of delayed reaction-diffusion cellular neural networks with Dirichlet boundary conditions in terms of 2k-norm (integer k > 0) was discussed.…”

Section: Exponential Synchronization Criterionmentioning

confidence: 99%

Exponential synchronization for reaction-diffusion neural networks with mixed time-varying delays via periodically intermittent control

Gan¹,

Zhang

Dong

2014

NAMC

View full text Add to dashboard Cite

This paper deals with the exponential synchronization problem for reaction-diffusion neural networks with mixed time-varying delays and stochastic disturbance. By using stochastic analysis approaches and constructing a novel Lyapunov–Krasovskii functional, a periodically intermittent controller is first proposed to guarantee the exponential synchronization of reaction-diffusion neural networks with mixed time-varying delays and stochastic disturbance in terms of p-norm. The obtained synchronization results are easy to check and improve upon the existing ones. Particularly, the traditional assumptions on control width and time-varying delays are removed in this paper. This paper also presents two illustrative examples and uses simulated results of these examples to show the feasibility and effectiveness of the proposed scheme.

show abstract

Section: Exponential Synchronization Criterionmentioning

confidence: 99%

Exponential synchronization for reaction-diffusion neural networks with mixed time-varying delays via periodically intermittent control

Gan¹,

Zhang

Dong

2014

NAMC

View full text Add to dashboard Cite

show abstract

“…The study of synchronization for partial differential systems mainly focused on the systems of neural networks with reaction-diffusion terms [12][13][14]. The synchronization of stochastic neural networks with reactiondiffusion terms have attracted many attentions [15][16][17][18][19][20][21]. In [15], the authors considered the synchronization of stochastic Markovian jump reaction-diffusion neural networks.…”

Section: Introductionmentioning

confidence: 99%

Mean square H<inf>−</inf> synchronization of coupled nonlinear delay stochastic partial differential systems

Zhu

Liu

et al. 2014

Proceedings of the 33rd Chinese Control Conference

View full text Add to dashboard Cite

This paper considers the synchronization problem for the coupled nonlinear delay stochastic partial differential systems(SPDSs), both mean square asymptotical synchronization and mean square H∞ synchronization are studied. Making use of the Lyapunov-Krasoviskii functional method and Itö formula, sufficient conditions are derived which guarantee the mean square asymptotical synchronization of the coupled nonlinear delay SPDSs. When the external disturbances appear in the coupled nonlinear delay SPDSs, the mean square H∞ synchronization is dealt with and sufficient criterion is provided. Finally, numerical examples are given to illustrate the correctness of our results.

show abstract

Adaptive synchronization of stochastic neural networks with mixed time delays and reaction–diffusion terms

Gan¹

2012

Nonlinear Dyn

View full text Add to dashboard Cite

Adaptive Exponential Synchronization of Stochastic Delay Neural Networks with Reaction-Diffusion

Cited by 4 publications

References 21 publications

Exponential synchronization for reaction-diffusion neural networks with mixed time-varying delays via periodically intermittent control

Exponential synchronization for reaction-diffusion neural networks with mixed time-varying delays via periodically intermittent control

Mean square H<inf>−</inf> synchronization of coupled nonlinear delay stochastic partial differential systems

Adaptive synchronization of stochastic neural networks with mixed time delays and reaction–diffusion terms

Contact Info

Product

Resources

About

Adaptive Exponential Synchronization of Stochastic Delay Neural Networks with Reaction-Diffusion

Cited by 4 publications

References 21 publications

Exponential synchronization for reaction-diffusion neural networks with mixed time-varying delays via periodically intermittent control

Exponential synchronization for reaction-diffusion neural networks with mixed time-varying delays via periodically intermittent control

Mean square H<inf>&#x2212;</inf> synchronization of coupled nonlinear delay stochastic partial differential systems

Adaptive synchronization of stochastic neural networks with mixed time delays and reaction–diffusion terms

Contact Info

Product

Resources

About

Mean square H<inf>−</inf> synchronization of coupled nonlinear delay stochastic partial differential systems