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Synchronization of Discontinuous Neural Networks with Delays via Adaptive Control
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The drive-response synchronization of delayed neural networks with discontinuous activation functions is investigated via adaptive control.
The synchronization of this paper means that the synchronization error approaches to zero for almost all time as time goes to infinity.
The discontinuous activation functions are assumed to be monotone increasing which can be unbounded.
Due to the mild condition on the discontinuous activations, adaptive control technique is utilized to control the response system.
Under the framework of Filippov solution, by using Lyapunov function and chain rule of differential inclusion, rigorous proofs are given to show that adaptive control can realize complete synchronization of the considered model.
The results of this paper are also applicable to continuous neural networks, since continuous function is a special case of discontinuous function.
Numerical simulations verify the effectiveness of the theoretical results.
Moreover, when there are parameter mismatches between drive and response neural networks with discontinuous activations, numerical example is also presented to demonstrate the complete synchronization by using discontinuous adaptive control.
American Psychological Association (APA)
Yang, Xinsong& Cao, Jinde. 2013. Synchronization of Discontinuous Neural Networks with Delays via Adaptive Control. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-449481
Modern Language Association (MLA)
Yang, Xinsong& Cao, Jinde. Synchronization of Discontinuous Neural Networks with Delays via Adaptive Control. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-449481
American Medical Association (AMA)
Yang, Xinsong& Cao, Jinde. Synchronization of Discontinuous Neural Networks with Delays via Adaptive Control. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-449481
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449481