Abstract
In this paper, Lorenz chaotic system with stochastic perturbation and unknown parameters is investigated, in which the stochastic perturbations is one-dimensional random process of the standard Wiener. Based on stochastic Lyapunov stability theory, It formula and adaptive control method combined with three adaptive control laws and two adaptive control laws respectively, two mean square Asymptotic adaptive synchronization standards are put forward theoretically. These new standards are in a simple form and easy to deal with. Moreover, with these standards, not only drive system with stochastic perturbations can be synchronized with the respond system, but also unknown parameters in the system can be identified. Finally, the Matlab numerical simulations confirm that the proposed results are correct and effective.
Publisher
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Subject
General Physics and Astronomy
Reference24 articles.
1. Lorenz E N 1963 J. Atmos. Sci. 20 130
2. Chen G R, L J H 2003 The Dynamics Analysis, Control and Synchronization of the Family of Lorenz System (Beijing: Science press) (in Chinese) [陈关荣, 吕金虎 2003 Lorenz系统族的动力学分析、控制与同步 (北京:科学出版社) 第9页]
3. Stwart I 2002 Nature 406 948
4. Tucker W 1999 C R Acad Sci Paris 328 119
5. Chua L O, Komuro M, Matsumoto T 1986 IEEE Trans. On Circuits & Systems-I 33 1072
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