Skip to main content
Springer Nature Link
Log in

Distributed algorithms for solving the convex feasibility problems

  • Letter
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Nedić A, Ozdaglar A. Distributed subgradient methods for multi-agent optimization. IEEE Trans Automat Contr, 2009, 54: 48–61

    Article  MathSciNet  Google Scholar 

  2. Nedić A, Ozdaglar A, Parrilo P A. Constrained consensus and optimization in multi-agent networks. IEEE Trans Automat Contr, 2010, 55: 922–938

    Article  MathSciNet  Google Scholar 

  3. Lu K, Jing G, Wang L. Distributed algorithm for solving convex inequalities. IEEE Trans Automat Contr, 2018, 63: 2670–2677

    Article  MathSciNet  Google Scholar 

  4. Zhu M H, Martínez S. On distributed convex optimization under inequality and equality constraints. IEEE Trans Automat Contr, 2012, 57: 151–164

    Article  MathSciNet  Google Scholar 

  5. Wang L, Shi H, Chu T G, et al. Aggregation of foraging swarms. In: Advances in Artificial Intelligence. Berlin: Springer, 2004, 3339: 766–777

    Google Scholar 

  6. Wang L, Xiao F. Finite-time consensus problems for networks of dynamic agents. IEEE Trans Automat Contr, 2010, 55: 950–955

    Article  MathSciNet  Google Scholar 

  7. Mou S, Liu J, Morse A S. A distributed algorithm for solving a linear algebraic equation. IEEE Trans Automat Contr, 2015, 60: 2863–2878

    Article  MathSciNet  Google Scholar 

  8. Cao H, Gibson T E, Mou S, et al. Impacts of network topology on the performance of a distributed algorithm solving linear equations. In: Prcoeedings of 2016 IEEE 55th Conference on Decision and Control (CDC). New York: IEEE, 2016. 1733–1738

    Chapter  Google Scholar 

  9. Wang L, Xiao F. A new approach to consensus problems in discrete-time multiagent systems with time-delays. Sci China Ser F-Inf Sci, 2007, 50: 625–635

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61751301, 61533001).

Author information

Authors and Affiliations

  1. Center for Complex Systems, School of Mechano-electronic Engineering, Xidian University, Xi’an, 710071, China

    Kaihong Lu & Gangshan Jing

  2. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China

    Gangshan Jing

  3. Center for Systems and Control, College of Engineering, Peking University, Beijing, 100871, China

    Long Wang

Authors
  1. Kaihong Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gangshan Jing
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Long Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Long Wang.

Supplementary File

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, K., Jing, G. & Wang, L. Distributed algorithms for solving the convex feasibility problems. Sci. China Inf. Sci. 63, 189201 (2020). https://doi.org/10.1007/s11432-018-9682-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-018-9682-4

Search

Navigation