Chaos control for the family of Rössler systems using feedback controllers
نویسندگان
چکیده
This paper presents a new method for controlling chaos in several classical chaotic Rössler systems using feedback control strategy. In particular, for an arbitrarily given equilibrium point of a Rössler system, we design explicit and simple feedback control laws by which the equilibrium point is globally and exponentially stabilized. Six typical Rössler systems are studied, and explicit formulas are derived for estimating the convergence rate of these systems. Numerical examples are presented to illustrate the theoretical results. A mistake has been found in the existing literature, and a correct result is given. 2005 Elsevier Ltd. All rights reserved.
منابع مشابه
Chaos Control and Synchronization for the Family of Rössler Systems
of Rössler Systems Xiaoxin Liao Department of Control Science and Engineering Huazhong University of Technology Wuhan, Hubei, 430074 P. R. China xiaoxin [email protected] Pei Yu Department Of Applied Mathematics University of Western Ontario London, Ontario, N6A 5B7 Canada [email protected] Abstract— This paper considers the global chaos control and synchronization of several classical Rös...
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