Skip to main content
SpringerLink
Log in

Adaptive Control Strategy for Projective Synchronization of Neural Networks

  • Conference paper
  • First Online:
Advances in Neural Networks - ISNN 2017 (ISNN 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10261))

Included in the following conference series:

Abstract

In this paper, we studied the projective synchronization of a type of chaotic neural networks (NNs) by introducing a novel adaptive control strategy. We obtained some useful sufficient criteria for the projective synchronization of considered networks via designing novel adaptive controller and introducing a suitable Lyapunov function. In addition, we gave a numerical example to validate the feasibility of the obtained results. It is worth to mention that the projective synchronization is a very general and it includes chaos stabilization, anti-synchronization and complete synchronization as its special cases.

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 EPUB and 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

References

  1. Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821–824 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ojalvo, J.G., Roy, R.: Spatiotemporal communication with synchronized optical chaos. Phys. Rev. Lett. 86, 5204–5207 (2001)

    Article  Google Scholar 

  3. Abdurahman, A., Jiang, H.: New results on exponential synchronization of memristor-based neural networks with discontinuous neuron activations. Neural Netw. 84, 161–171 (2016)

    Article  Google Scholar 

  4. Abdurahman, A., Jiang, H., Teng, Z.: Finite-time synchronization for fuzzy cellular neural networks with time-varying delays. Fuzzy Sets Syst. 297, 96–111 (2016)

    Article  MathSciNet  Google Scholar 

  5. Yao, C., Zhao, Q., Yu, J.: Complete synchronization induced by disorder in coupled chaotic lattices. Phys. Lett. A 377, 370–377 (2013)

    Article  Google Scholar 

  6. Abdurahman, A., Jiang, H., Teng, Z.: Finite-time synchronization for memristor-based neural networks with time-varying delays. Neural Netw. 69, 20–28 (2015)

    Article  Google Scholar 

  7. Abdurahman, A., Jiang, H., Hu, C., Teng, Z.: Parameter identification based on finite-time synchronization for Cohen-Grossberg neural networks with time-varying delays. Nonlinear Anal. Modell. Control 20(3), 348–366 (2015)

    Article  MathSciNet  Google Scholar 

  8. Abdurahman, A., Jiang, H., Teng, Z.: Exponential lag synchronization for memristor-based neural networks with mixed time delays via hybrid switching control. J. Frankl. Inst. 353(13), 2859–2880 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  9. Rulkov, N.F., Sushchik, M.M., Tsimring, L.S.: Generalized synchronization of chaos in directionally coupled chaotic systems. Phys. Rev. E 51, 980 (1995)

    Article  Google Scholar 

  10. Kim, C.M., Rim, S., Kye, W.H., et al.: Anti-synchronization of chaotic oscillators. Phys. Lett. A 320, 39–46 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  11. Mainieri, R., Rehacek, J.: Projective synchronization in three-dimensional chaotic systems. Phys. Rev. Lett. 82, 304 (1999)

    Article  Google Scholar 

  12. Abdurahman, A., Jiang, H., Rahman, K.: Function projective synchronization of memristor-based Cohen-Grossberg neural networks with time-varying delays. Cogn. Neurodyn. 9(6), 603–613 (2015)

    Article  Google Scholar 

  13. Runzi, L.: Adaptive function project synchronization of Rössler hyperchaotic system with uncertain parameters. Phys. Lett. A 372, 3667–3671 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Abdurahman, A., Jiang, H., Teng, Z.: Function projective synchronization of impulsive neural networks with mixed time-varying delays. Nonlinear Dyn. 78, 2627–2638 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  15. Bao, H., Cao, J.: Projective synchronization of fractional-order memristor-based neural networks. Neural Netw. 63, 1–9 (2015)

    Article  MATH  Google Scholar 

  16. Ghosh, D., Banerjee, S.: Projective synchronization of time-varying delayed neural network with adaptive scaling factors. Chaos Solitons Fractals 53, 1–9 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  17. Huang, J., Li, C., Zhang, W., Wei, P.: Weak projective lag synchronization of neural networks with parameter mismatch. Neural Comput. Appl. 24, 155–160 (2014)

    Article  Google Scholar 

Download references

Acknowledgments

This work was founded by the National Natural Science Foundation of P.R. China (Grant Nos. 11601464 and 61164004).

Author information

Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang Uyghur Autonomous Region, People’s Republic of China

    Abdujelil Abdurahman, Cheng Hu, Ahmadjan Muhammadhaji & Haijun Jiang

Authors
  1. Abdujelil Abdurahman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cheng Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ahmadjan Muhammadhaji
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Haijun Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abdujelil Abdurahman .

Editor information

Editors and Affiliations

  1. Dalian University of Technology, Dalian, China

    Fengyu Cong

  2. City University of Hong Kong, Kowloon Tong, Hong Kong

    Andrew Leung

  3. Chinese Academy of Sciences, Beijing, China

    Qinglai Wei

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Abdurahman, A., Hu, C., Muhammadhaji, A., Jiang, H. (2017). Adaptive Control Strategy for Projective Synchronization of Neural Networks. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10261. Springer, Cham. https://doi.org/10.1007/978-3-319-59072-1_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-59072-1_30

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59071-4

  • Online ISBN: 978-3-319-59072-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation