华东师范大学学报(自然科学版) ›› 2009, Vol. 2009 ›› Issue (1): 43-47.

• 应用数学与基础数学 • 上一篇    下一篇

T系统解的有界性及其控制(英文)

舒永录,王猛   

  1. 重庆大学 数理学院, 重庆 400044
  • 收稿日期:2008-05-19 修回日期:2008-07-15 出版日期:2009-01-25 发布日期:2009-01-25

Boundedness of the solutions of the T-system and its control(English)

SHU Yong-lu,WANG Meng   

  1. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China
  • Received:2008-05-19 Revised:2008-07-15 Online:2009-01-25 Published:2009-01-25

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摘要： T~系统源于著名的~Lorenz~系统,
通过构造一个新的~Lyapunov~函数,
证明了混沌~T~系统的解的有界性。进而将\,T~系统有界的理论结果应用在混沌控制和同步上,
设计了有效的线性控制器把混沌控制到不稳定的平衡点~$(0, 0, 0)$.

关键词: T系统, Lyapunov函数, 有界性, 线性反馈控制, T系统, Lyapunov函数, 有界性, 线性反馈控制

Abstract: The boundedness of solutions of a chaotic T-system was
proved by constructing a new Lyapunov function. Furthermore, the
theoretical results of the boundedness of a T-system can be used for
chaos control and synchronization. Effective linear feedback
controller was proposed for stabilizing chaos to unstable
equilibrium$(0, 0, 0)$.

Key words: Lyapunov function, boundedness, linear feedback control, T-system, Lyapunov function, boundedness, linear feedback control

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