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Asymptotical synchronization of Lur'e systems using network reliable control
journal contribution
posted on 2017-01-01, 00:00 authored by R Rakkiyappan, Lakshmanan Shanmugam, Chee Peng LimChee Peng LimThis paper presents the synchronization criteria for two identical delayed chaotic Lur'e systems. Here, we employ network reliable feedback control for achieving synchronization between our considered systems. The advantage of the employed controller lies in the fact that it even works in the case of actuator or sensor failures, which may occur in many real-world situations. By introducing an improved Lyapunov-Krasovskii (L-K) functional and by using reciprocally convex technique, sufficient conditions are given in the form of linear matrix inequalities (LMIs) to ensure asymptotic stability of resulting synchronization error system. Numerical simulations of neural networks and Chua's circuit system are given to verify the effectiveness and less conservatism of the presented theoretical results.
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Journal
Journal of dynamic systems, measurement and control, transactions of the ASMEVolume
139Issue
1Article number
011004Pagination
1 - 11Publisher
ASMELocation
New York, N.Y.Publisher DOI
ISSN
0022-0434eISSN
1528-9028Language
engPublication classification
C1 Refereed article in a scholarly journalCopyright notice
2017, ASMEUsage metrics
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No categories selectedKeywords
errorsfailurefeedbacksynchronizationcontrol equipmentactuatorscircuitsScience & TechnologyTechnologyAutomation & Control SystemsInstruments & Instrumentationchaos and synchronizationLur'e systemtime delaysnetwork reliable controlSAMPLED-DATA CONTROLCHAOTIC SYSTEMSACTUATOR FAULTSLINEAR-SYSTEMSSTABILIZATION
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