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Zbl 1235.93111
Yang, Chunde; Tao, C.H.; Wang, Ping
Comparison of feedback control methods for a hyperchaotic Lorenz system. (English)
[J] Phys. Lett., A 374, No. 5, 729-732 (2010). ISSN 0375-9601

Summary: More and more attention has been payed to the hyperchaotic system for the huge potential applications of hyperchaotic system such as secure communication and more complex structure than chaotic system. So at present the controlling of the hyperchaotic system simply and effectively is a frontier topic of nonlinear science. In this Letter, for the latest hyperchaotic Lorenz system, four feedback control methods were studied with analytic solution and necessary numerical simulations. It is found that the enhancing feedback control approach is the best choice of the given four feedback control methods for its relatively simple external inputs and relatively small necessary feedback coefficient after comparison. The conclusion is a helpful for the choice of control methods of any other chaotic and hyperchaotic systems.

MSC 2000:: *93B52 Feedback control
34H10
34C28 Other types of "recurrent" solutions of ODE
34A34 Nonlinear ODE and systems, general
94A60 Cryptography

Keywords: feedback control; hyperchaotic system; Routh-Hurwitz theorem; equilibrium point

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