Journal
PHYSICS LETTERS A
Volume 376, Issue 44, Pages 2775-2780Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2012.08.021
Keywords
Memristor; Chua's circuit; Adaptive synchronization
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Funding
- Natural Science Foundation of China [60974021, 61125303]
- 973 Program of China [2011CB710606]
- Fund for Distinguished Young Scholars of Hubei Province [2010CDA081]
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In this Letter, a memristor-based Chua's system is presented, and the chaotic behavior of this system is demonstrated by phase portraits. This Letter also deals with the problem of adaptive synchronization control of this chaotic system using the drive-response concept, and presents an adaptive control scheme for the synchronization of memristor-based Chua's circuit, when the parameters of the drive system are fully unknown and different with those of the response system. The sufficient condition for the adaptive synchronization has been analyzed. Moreover, the controller design method is further extended to more general cases, where the physical plant contains parameter uncertainties, represented in either polytopic or structured frameworks. Numerical simulations are used to demonstrate these results. (C) 2012 Elsevier B.V. All rights reserved.
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