Skip to main content
SpringerLink
Log in

Chaotic control of nonlinear systems based on improved correlativity

  • Letters
  • Published:
Journal of Electronics (China)

Abstract

Chaotic sequences are basically ergodic random sequences. By improving correlativity of a chaotic signal, the chaotic dynamic system can be controlled to converge to its equilibrium point and, more significantly, to its multi-periodic orbits. Mathematical theory analysis is carried out and some computer simulation results are provided to support such controllability of the chaotic Henon system and the discrete coupled map lattice.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. E. Ott, C. Grebogi, A. J. Yorke, Controlling chaos, Phys. Rev. Lett., 64(1990)11, 1196–1199.

    Article  MATH  MathSciNet  Google Scholar 

  2. B. A. Huberman, Dynamics of adaptive systems, IEEE Trans. on CAS, 37(1990), 547–550.

    Article  Google Scholar 

  3. D. Vassiliadis, Parametric adaptive control and parameter identification of low-dimensional chaotic system, Physica D, 71(1994), 319–341.

    Article  MATH  Google Scholar 

  4. G. Chen, X. Dong, On the feedback control of chaotic continuous time systems, IEEE Trans. on Circuits Syst., 40(1993)9, 591–601.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Chen, X. Dong, On the feedback control of chaotic dynamic systems, Int. J. Bifrucation chaos, 2(1992)2, 407–411.

    Article  MATH  MathSciNet  Google Scholar 

  6. Y. Liu, J. R. Rios Leite, Control of Lorenz chaos, Phys. Lett. A(1994)185, 35–37.

    Google Scholar 

  7. A. E. Jackson, The entrainment and migration controls of multi-attractor systems, Phys. Lett. A(1990)151, 478–484.

    Google Scholar 

  8. J. P. Eckman, D. E. Ruelle, Ergodic theory of chaos and strange attractors, Rev. Mod. Phys., 57(1985)3, 617–656.

    Article  Google Scholar 

  9. J. H. Peng, E. J. Ding, et al., Synchronizing hyper-chaos with a scalar transmitted signal, Phys. Rev. Lett., 76(1996)6, 904–907.

    Article  Google Scholar 

  10. J. Q. Fang, Ali MK., Nonlinear feedback control of spatiotemporal chaos in coupled map lattices, Discrete Dynamics in Nature and Society, 1997,1, 283–295.

    Google Scholar 

  11. W. P. Liu, D. J. Yu, R. G. Harrison, Control of patterns in spatiotemporal chaos in optics, Phys. Rev. Lett., 76(1996)18, 3316–3319.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Information Eng., Shenzhen University, 518060, Shenzhen

    Zhou Xiaoan & Zhang Jihong

Authors
  1. Zhou Xiaoan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhang Jihong
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by the National Natural Science Foundation of China (No.60172065)

About this article

Cite this article

Zhou, X., Zhang, J. Chaotic control of nonlinear systems based on improved correlativity. J. of Electron.(China) 20, 132–136 (2003). https://doi.org/10.1007/s11767-003-0009-7

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11767-003-0009-7

Key words

Search

Navigation