Skip to main content
Log in

Finite-time analysis of global projective synchronization on coloured networks

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

A novel finite-time analysis is given to investigate the global projective synchronization on coloured networks. Some less conservative conditions are derived by utilizing finite-time control techniques and Lyapunov stability theorem. In addition, two illustrative numerical simulations are provided to verify the effectiveness of the proposed theoretical results.

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

Access this article

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

Instant access to the full article PDF.

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7

Similar content being viewed by others

References

  1. R Justin and R Derek, Science 343, 1373 (2014)

    Article  MathSciNet  Google Scholar 

  2. G L Cai, Q Yao, and H J Shao, Commun. Nonlinear Sci. Numer. Simul. 17, 3843 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  3. S M Cai, J J Hao, Q B He, and Z R Liu, Nonlinear Dyn. 67, 393 (2012)

    Article  MathSciNet  Google Scholar 

  4. P Erdös and A Rényi, Acta Arithmetica 6, 83 (1960)

    MathSciNet  Google Scholar 

  5. D J Watts and S H Strogatz, Nature 393, 440 (1998)

    Article  ADS  Google Scholar 

  6. A L Barabási and R Albert, Science 286, 509 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  7. Y Chai and L Q Chen, Chin. Phys. B 23, 030504 (2014)

    Article  ADS  Google Scholar 

  8. W Zhao, X J Xu, G R Chen, and X C Fu, Chaos 22, 043137 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  9. M Sun, D D Li, D Han, and Q Jia, Chin. Phys. Lett. 30, 9 (2013)

    Google Scholar 

  10. H Y Du, P Shi, and N Lü, Nonlinear Anal. Real World Appl. 14, 1182 (2013)

    Article  MathSciNet  Google Scholar 

  11. J Mei, M H Jiang, W M Xu, and B Wang, Commun. Nonlinear Sci. Numer. Simul. 18, 2462 (2013)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Nature Science Foundation of China (Nos 51276081, 71073072) and the Students’ Research Foundation of Jiangsu University (No. 12A415). The authors also extend their special thanks to Jiangsu University for their support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to SHENGQIN JIANG.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

CAI, G., JIANG, S., CAI, S. et al. Finite-time analysis of global projective synchronization on coloured networks. Pramana - J Phys 86, 545–554 (2016). https://doi.org/10.1007/s12043-015-1022-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-015-1022-8

Keywords

PACS Nos

Navigation