Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control

Rakkiyappan, R., Sivasamy, R. and Lakshmanan, S. 2014, Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control, Chinese physics b, vol. 23, no. 6, doi: 10.1088/1674-1056/23/6/060504.

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Title Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control
Author(s) Rakkiyappan, R.
Sivasamy, R.
Lakshmanan, S.ORCID iD for Lakshmanan, S. orcid.org/0000-0002-4622-3782
Journal name Chinese physics b
Volume number 23
Issue number 6
Article ID 060504
Total pages 14
Publisher IOP Publishing
Place of publication Bristol, Eng.
Publication date 2014-04
ISSN 1674-1056
Keyword(s) Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
exponential synchronization
chaotic Lur'e system
time-varying delay
sampled-data control
MASTER-SLAVE SYNCHRONIZATION
ABSOLUTE STABILITY-CRITERIA
FEEDBACK-CONTROL
IMPULSIVE SYNCHRONIZATION
NEURAL-NETWORKS
SECTOR
Summary In this paper, we study the exponential synchronization of chaotic Lur'e systems with time-varying delays via sampled-data control by using sector nonlinearties. In order to make full use of information about sampling intervals and interval time-varying delays, new Lyapunov - Krasovskii functionals with triple integral terms are introduced. Based on the convex combination technique, two kinds of synchronization criteria are derived in terms of linear matrix inequalities, which can be efficiently solved via standard numerical software. Finally, three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results. © 2014 Chinese Physical Society and IOP Publishing Ltd.
Language eng
DOI 10.1088/1674-1056/23/6/060504
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:30077149

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