Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (1): 67-73.

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CONTROL OF THE LORENZ CHAOS BY THE EXACT LINEARIZATION

Chen Liqun, Liu Yanzhu   

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R.China
  • Received:1996-05-13 Revised:1997-05-21 Online:1998-01-18 Published:1998-01-18

Abstract: Controlling chaos in the Lorenz systent with a controllable Rayleigh number isinvestigated by the state space exact linearization method. Based on proving the exactlinearizability,the nonlinear feedback is utilized to design the transformation changingthe original chaotic system into a linear controllable one so that the control is realized.Numerical examples of control are presented.

Key words: Reyleigh number, Lorenz system, chaos

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