Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control

Lakshmanan, S., Park, J. H., Rihan, F. A. and Rakkiyappan, R. 2014, Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control, Chinese physics b, vol. 23, no. 7, doi: 10.1088/1674-1056/23/7/070205.

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Title Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control
Author(s) Lakshmanan, S.ORCID iD for Lakshmanan, S. orcid.org/0000-0002-4622-3782
Park, J. H.
Rihan, F. A.
Rakkiyappan, R.
Journal name Chinese physics b
Volume number 23
Issue number 7
Article ID 070205
Total pages 12
Publisher IOP Publishing
Place of publication Bristol, Eng.
Publication date 2014-05
ISSN 1674-1056
Keyword(s) Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
exponential synchronization
impulsive effect
leakage delay
sampled-data feedback
TIME-VARYING DELAYS
CHAOTIC SYSTEMS
DEPENDENT STABILITY
INTERMITTENT CONTROL
DISTRIBUTED DELAYS
DYNAMICAL NETWORKS
MIXED DELAYS
STABILIZATION
COMMUNICATION
ATTRACTORS
Summary We consider the impulsive effect on the exponential synchronization of neural networks with leakage delay under the sampled-data feedback control. We use an appropriate Lyapunov - Krasovskii functional combined with the input delay approach and some inequality techniques to derive sufficient conditions that ensure the exponential synchronization of the delayed neural network. The conditions are formulated in terms of the leakage delay, the sampling period, and the exponential convergence rate. Numerical examples are given to demonstrate the usefulness and the effectiveness of the results. © 2014 Chinese Physical Society and IOP Publishing Ltd.
Language eng
DOI 10.1088/1674-1056/23/7/070205
Field of Research 01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Copyright notice ©2014, Chinese Physical Society and IOP Publishing Ltd
Persistent URL http://hdl.handle.net/10536/DRO/DU:30077157

Document type: Journal Article
Collections: Centre for Intelligent Systems Research
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