@inproceedings{7ec3f340757a41d19871d87baa2a591b,
title = "Multi-agent systems reaching optimal consensus with time-varying communication graphs",
abstract = "In this paper, an optimal consensus problem for continuous-time multi-agent systems is formulated and solved with time-varying interconnection topologies. Based on a sharp connectivity assumption, the considered multi-agent network with simple nonlinear distributed control rules achieves not only a consensus, but also an optimal one by agreeing within the global optimal solution set of a sum of objective functions corresponding to multiple agents. Convergence analysis is presented, by establishing several key properties of a class of distance functions and invariant sets with the help of convex analysis and non-smooth analysis.",
keywords = "Distributed optimization, Multi-agent systems, Optimal consensus, Set convergence",
author = "Guodong Shi",
year = "2011",
doi = "10.3182/20110828-6-IT-1002.03721",
language = "English",
isbn = "9783902661937",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "1 PART 1",
pages = "5693--5699",
booktitle = "Proceedings of the 18th IFAC World Congress",
edition = "1 PART 1",
}