Geodesic
Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties
Kybernetika, Tome 49 (2013) no. 4, pp. 554-567.

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This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety of chaotic systems which can be described by the so-called cross-strict feedback systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.
Classification : 34C28, 34D06, 34H10, 34K35
Keywords: finite-time synchronization; cross-strict feedback hyperchaotic system; backstepping; adaptive control 
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     author = {Li, Hai-Yan and Hu, Yun-An and Wang, Rui-Qi},
     title = {Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties},
     journal = {Kybernetika},
     pages = {554--567},
     publisher = {mathdoc},
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     number = {4},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2013__49_4_a3/}
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Li, Hai-Yan; Hu, Yun-An; Wang, Rui-Qi. Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties. Kybernetika, Tome 49 (2013) no. 4, pp. 554-567. http://geodesic.mathdoc.fr/item/KYB_2013__49_4_a3/