中国物理B ›› 2004, Vol. 13 ›› Issue (8): 1210-1214.doi: 10.1088/1009-1963/13/8/005

• GENERAL • 上一篇    下一篇

Chaotifying a linear time-invariant system by the state feedback controller and sawtooth function

魏荣, 王行愚   

  1. College of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
  • 收稿日期:2004-01-09 修回日期:2004-04-19 出版日期:2005-06-21 发布日期:2005-06-21

Chaotifying a linear time-invariant system by the state feedback controller and sawtooth function

Wei Rong (魏荣), Wang Xing-Yu (王行愚)   

  1. College of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
  • Received:2004-01-09 Revised:2004-04-19 Online:2005-06-21 Published:2005-06-21

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摘要： Another algorithm for chaotification of any given linear time-invariant discrete-time systems is presented. The new chaotification algorithm uses the decentralized control and the continuous sawtooth function, which can generate discrete chaos with an arbitrarily desired amplitude bound. Based on the Marotto theorem, we mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. Finally, a simple example is used to illustrate the effectiveness of the proposed theory and method.

Abstract: Another algorithm for chaotification of any given linear time-invariant discrete-time systems is presented. The new chaotification algorithm uses the decentralized control and the continuous sawtooth function, which can generate discrete chaos with an arbitrarily desired amplitude bound. Based on the Marotto theorem, we mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. Finally, a simple example is used to illustrate the effectiveness of the proposed theory and method.

Key words: anticontrol of chaos, chaos control, chaotification

中图分类号:  (Control of chaos, applications of chaos)

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02.30.Sa (Functional analysis)