logo

SCIENCE CHINA Information Sciences, Volume 64 , Issue 9 : 199203(2021) https://doi.org/10.1007/s11432-018-9853-9

Finite-time distributed projection scheme for intersections of convex sets

More info
  • ReceivedDec 3, 2018
  • AcceptedMar 29, 2019
  • PublishedJun 15, 2020

Abstract

There is no abstract available for this article.


Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant Nos. 61573199, 61571441) and Basic Research Projects of High Education (Grant No. 3122015C025).


References

[1] Cortés J. Finite-time convergent gradient flows with applications to network consensus. Automatica, 2006, 42: 1993-2000 CrossRef Google Scholar

[2] Sundaram S, Hadjicostis C N. Finite-time distributed consensus in graphs with time-invariant topologies. In: Proceedings of American Control Conference, New York, 2007. 711--716. Google Scholar

[3] Long Wang , Feng Xiao . Finite-Time Consensus Problems for Networks of Dynamic Agents. IEEE Trans Automat Contr, 2010, 55: 950-955 CrossRef Google Scholar

[4] Wang X, Hong Y. Distributed finite-time χ-consensus algorithms for multi-agent systems with variable coupling topology. J Syst Sci Complex, 2010, 23: 209-218 CrossRef Google Scholar

[5] Lin P, Ren W, Farrell J A. Distributed Continuous-Time Optimization: Nonuniform Gradient Gains, Finite-Time Convergence, and Convex Constraint Set. IEEE Trans Automat Contr, 2017, 62: 2239-2253 CrossRef Google Scholar

[6] Necoara I, Patrascu A. Randomized projection methods for convex feasibility problems. 2018,. arXiv Google Scholar

[7] Shah S M, Borkar V S. Distributed stochastic approximation with local projections. 2017,. arXiv Google Scholar

[8] Shi G, Johansson K H, Hong Y. Reaching an Optimal Consensus: Dynamical Systems That Compute Intersections of Convex Sets. IEEE Trans Automat Contr, 2013, 58: 610-622 CrossRef Google Scholar

[9] Paden B, Sastry S. A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators. IEEE Trans Circuits Syst, 1987, 34: 73-82 CrossRef Google Scholar