Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 14, Issue 8, Pages 3379-3388Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2008.12.023
Keywords
Chaotic system; Unknown parameter; Chaos synchronization; Van der Pol oscillators; Adaptive feedback control
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Funding
- National Natural Science Foundation of China [. 60874088]
- Specialized Research Fund for the Doctoral Program of Higher Education [20070286003]
- 333 Project of Jiangsu Province of China
- Qing Lan project
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This paper presents an adaptive feedback control scheme for the synchronization of the chaotic system consisting of Van der Pol oscillators coupled to linear oscillators with cubic term when the parameters of the master system are unknown and different with the those of the slave system. Based on the Lyapunov stability theory, an adaptive control law is derived to make the states of two slightly mismatched chaotic systems asymptotically synchronized. This method is efficient and easy to implement. Numerical simulations results confirming the analytical predictions are shown and pspice simulations are also performed to confirm the efficiency of the proposed control scheme. (C) 2009 Elsevier B.V. All rights reserved.
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