Almost Sure Asymptotical Adaptive Synchronization for Neutral-Type Neural Networks with Stochastic Perturbation and Markovian Switching

Joint Authors

Yang, Xueqing
Dai, Anding
Yang, Jun
Liu, Huashan
Zhou, Wuneng

Source

Mathematical Problems in Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-16

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

The problem of almost sure (a.s.) asymptotic adaptive synchronization for neutral-type neural networks with stochastic perturbation and Markovian switching is researched.

Firstly, we proposed a new criterion of a.s.

asymptotic stability for a general neutral-type stochastic differential equation which extends the existing results.

Secondly, based upon this stability criterion, by making use of Lyapunov functional method and designing an adaptive controller, we obtained a condition of a.s.

asymptotic adaptive synchronization for neutral-type neural networks with stochastic perturbation and Markovian switching.

The synchronization condition is expressed as linear matrix inequality which can be easily solved by Matlab.

Finally, we introduced a numerical example to illustrate the effectiveness of the method and result obtained in this paper.

American Psychological Association (APA)

Zhou, Wuneng& Yang, Xueqing& Yang, Jun& Dai, Anding& Liu, Huashan. 2014. Almost Sure Asymptotical Adaptive Synchronization for Neutral-Type Neural Networks with Stochastic Perturbation and Markovian Switching. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-474773

Modern Language Association (MLA)

Zhou, Wuneng…[et al.]. Almost Sure Asymptotical Adaptive Synchronization for Neutral-Type Neural Networks with Stochastic Perturbation and Markovian Switching. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-474773

American Medical Association (AMA)

Zhou, Wuneng& Yang, Xueqing& Yang, Jun& Dai, Anding& Liu, Huashan. Almost Sure Asymptotical Adaptive Synchronization for Neutral-Type Neural Networks with Stochastic Perturbation and Markovian Switching. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-474773

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-474773