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Analysis and Control of Two-Layer Frenkel–Kontorova Model |
| TANG Wen-Yan1**, QU Zhi-Hua1,2, GUO Yi3
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1School of Information Science and Engineering, Central South University, Changsha 410075
2School of Electrical Engineering and Computer Science, University of Central Florida, Orlando, FL 32816, USA
3Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA
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| Cite this article: |
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TANG Wen-Yan, QU Zhi-Hua, GUO Yi 2011 Chin. Phys. Lett. 28 110204 |
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Abstract A one-dimensional two-layer Frenkel–Kontorova model is studied. Firstly, a feedback tracking control law is given. Then, the boundedness result for the error states of single particles of the model is derived using the Lyapunov Method. Especially, the motion of single particles can be approximated analytically for the case of sufficiently large targeted velocity. Simulations illustrate the accuracy of the derived results.
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02.30.Yy
68.35.Af
05.45.-a
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Received: 18 March 2011
Published: 30 October 2011
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