Skip to main content
SpringerLink
Log in

Synchronization analysis of coloured delayed networks under decentralized pinning intermittent control

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

This paper investigates synchronization of coloured delayed networks under decentralized pinning intermittent control. To begin with, the time delays are taken into account in the coloured networks. In addition, we propose a decentralized pinning intermittent control are method, which is different from that most of pinning intermittent controls are only applied to the nodes from 1 to l or centralized nodes. Moreover, sufficient conditions are derived to guarantee the synchronization of coloured delayed networks based on Lyapunov stability theorem. Finally, numerical simulations are provided to verify the validity of the obtained results.

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

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

Similar content being viewed by others

References

  1. W Ding, Commun. Nonlinear Sci. Numer. Simul. 14, 3945 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  2. Y Tang and W K Wong, IEEE Trans. Neural Netw. Learn. Syst. 24, 435 (2013)

    Article  Google Scholar 

  3. L H Wang, W Ding and D Chen, Phys. Lett. A 374, 1440 (2010)

    Article  ADS  Google Scholar 

  4. G L Cai, S Q Jiang, S M Cai and L X Tian, Chin. Phys. B 23, 120505 (2014)

    Article  ADS  Google Scholar 

  5. S Zheng, Q S Bi and G L Cai, Phys. Lett. A 373, 1553 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  6. G L Cai, S Q Jiang, S M Cai and L X Tian, Nonlinear Dyn. 80, 503 (2015)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  8. Z Y Wu, 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, 0902021 (2013)

  10. Z D Wang, Y Wang and Y R Liu, IEEE Trans. Neural Netw. 21, 11 (2010)

    Article  Google Scholar 

  11. Y Z Sun, W Li and J Ruan, Commun. Nonlinear Sci. Numer. Simul. 18, 2462 (2013)

    Article  MathSciNet  Google Scholar 

  12. X Wang, J A Fang, H Y Mao and A D Dai, Nonlinear Dyn. 79, 47 (2015)

    Article  Google Scholar 

  13. J Zhou, Jun-an Lu and Jinhu Lu, Automatica 44, 996 (2008)

    Article  Google Scholar 

  14. W Yu, G Chen and J Lu, Automatica 45, 429 (2009)

    Article  Google Scholar 

  15. X W Liu and T P Chen, IEEE Trans. Neural Netw. 22, 1009 (2011)

    Article  Google Scholar 

  16. S M Cai, J B Hao, Q B He and Z R Liu, Phys. Lett. A 375, 1965 (2011)

    Article  ADS  Google Scholar 

  17. H S Su, Z H Rong and Q Chen, IEEE Trans. Cyber. 43, 394 (2013)

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 61374194, 61403081), the National Key Science & Technology Pillar Programme of China (No. 2014BAG01B03), the Natural Science Foundation of Jiangsu Province (No. BK20140638), and a Project Funded by the Priority Academic Programme Development of Jiangsu Higher Education Institutions.

Author information

Authors and Affiliations

  1. School of Automation, Southeast University, Nanjing, 210096, People’s Republic of China

    SHENGQIN JIANG & XIAOBO LU

  2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing, 210096, People’s Republic of China

    SHENGQIN JIANG & XIAOBO LU

Authors
  1. SHENGQIN JIANG
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. XIAOBO LU
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to XIAOBO LU.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

JIANG, S., LU, X. Synchronization analysis of coloured delayed networks under decentralized pinning intermittent control. Pramana - J Phys 86, 1243–1251 (2016). https://doi.org/10.1007/s12043-015-1184-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-015-1184-4

Keywords

PACS Nos

Search

Navigation