Skip to main content
SpringerLink
Log in

Hybrid Synchronization of Two Delayed Systems with Uncertain Parameters

  • Conference paper
Advances in Neural Networks – ISNN 2012 (ISNN 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7367))

Included in the following conference series:

Abstract

This paper is concerned with the hybrid synchronization of two different delayed chaotic systems with uncertain parameters. A synchronization and anti-synchronization integrated processing method is employed. Suitable nonlinear controller and adaptive law of parameters are designed to realize the hybrid anti-synchronization and identify the uncertain parameters by the adaptive controlling method. Numerical simulations show the effectiveness of the developed approach.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ott, E., Grebogi, C., Yorke, A.J.: Controlling chaos. Physical Review Letters 64, 1190–1196 (1990)

    Google Scholar 

  2. Boccaletti, S., Grebogi, C., Lai, Y.C., et al.: The control of chaos theory and applications. Physics Reports 329, 103–197 (2000)

    Article  MathSciNet  Google Scholar 

  3. Yan, X.M., Liu, D.: Based on the observer not sure the hyperchaotic Ln the active control system. Xian University of Science and Technology Journal 26(1), 1–6 (2010)

    Google Scholar 

  4. Hu, G., Zhang, Y., Cerdeira, H.A., Chen, S.: From low-dimensional synchronous chaos to high-dimensional desynchronous spatiotemporal chaos in coupled systems. Phys. Rev. Lett. 85, 3377–3380 (2000)

    Article  Google Scholar 

  5. Ho, M.C., Hung, Y.C., Chou, C.H.: Phase and anti-phase synchronization of two chaotic systems by using active control. Phys. Lett. A. 296, 43–48 (2002)

    Article  MATH  Google Scholar 

  6. Uchida, A., Liu, Y., Fischer, I., Davis, P.: Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers. Phys. Rev. A. 64, 023801–023807 (2001)

    Google Scholar 

  7. Yang, X.S., Duan, C.K., Liao, X.X.: A note on mathematica aspects of drive-response type synchronization. Chaos, Solitons and Fraetals 10(9), 1457–1462 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  8. Li, C.D., Liao, X.F., Zhang, R.: Impulsive synchronization of nonlinear coupled chaotic systems. Physics Letters A 328(1), 47–50 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  9. Zeng, X.P., Ruan, J., Li, L.J.: Synchronization of chaotic systems by feedback. Communications in Nonlinear Science and Numerical Simulation 4(2), 162–166 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  10. Park, J.H.: Chaos synchronization of a chaotic system via nonlinear control. Chaos Solitons and Fractals 25, 579–584 (2005)

    Article  MATH  Google Scholar 

  11. Chen, S., Hu, J., Wang, C., et al.: Adaptive synchronization of uncertain Rossler hyperchaotic system based on parameter identification. Physics Letters A 321, 50–55 (2004)

    Article  MATH  Google Scholar 

  12. Gao, T., Chen, Z., Yuan, Z., et al.: Adaptive synchronization of a new hyperchaotic system with uncertain parameters. Chaos, Solitons and Fractals 33, 922–928 (2007)

    Article  Google Scholar 

  13. AL-Sawalha, M.M., Noorani, M.S.N.: Adaptive anti-synchroization of two identifical and different hyperchaotic system with uncertain parameters. Communications in Nonlinear Science and Numerical Simulation 15, 1036–1047 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Li, R.: A special full-state hybrid projective synchronization in symmetrical chaotic systems. Applied Mathematics and Computation 200, 321–329 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  15. Mei, S.W., Shen, T.L., Liu, K.Z.: Modern robust control theory and application. Tsinghua University, Beijing (2008)

    Google Scholar 

  16. Yuxia, L., Waace, K., Chen, G.: Generating hyperchaos via state feedback control. Int. J. Bifurcat Chaos 15, 3367–3375 (2005)

    Article  Google Scholar 

  17. Park, J.: Adaptive synchronization of hyperchaotic Chen system with uncertain parameters. Chaos, Solitons and Fractal 26, 959–964 (2005)

    Article  MATH  Google Scholar 

  18. Chen, A., Lu, J., Yu, S.: Generating hyperchaotic Lü attractor via state feedback control. Physical A 364, 103–110 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Jinan University, Guangzhou, 510632, China

    Zhen Zheng, Manchun Tan & Qunfang Wang

Authors
  1. Zhen Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Manchun Tan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qunfang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mechanical & Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong

    Jun Wang

  2. School of Electrical and Computer Engineering, Oklahoma State University, 74078, Stillwater, OK, USA

    Gary G. Yen

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios M. Polycarpou

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zheng, Z., Tan, M., Wang, Q. (2012). Hybrid Synchronization of Two Delayed Systems with Uncertain Parameters. In: Wang, J., Yen, G.G., Polycarpou, M.M. (eds) Advances in Neural Networks – ISNN 2012. ISNN 2012. Lecture Notes in Computer Science, vol 7367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31346-2_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31346-2_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31345-5

  • Online ISBN: 978-3-642-31346-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation