Title
Almost Global Consensus on the $n$ -Sphere.
Abstract
This paper establishes novel results regarding the global convergence properties of a large class of consensus protocols for multiagent systems that evolve in continuous time on the n-dimensional unit sphere or n-sphere. For any connected, undirected graph and all n ∈ N\{1}, each protocol in said class is shown to yield almost global consensus. The feedback laws are negative gradients of Lyapunov ...
Year
DOI
Venue
2018
10.1109/TAC.2017.2752799
IEEE Transactions on Automatic Control
Keywords
Field
DocType
Protocols,Convergence,Manifolds,Topology,Heuristic algorithms,Sensors,Nickel
Convergence (routing),Lyapunov function,Graph,Mathematical optimization,Combinatorics,Gradient descent,Backslash,n-sphere,Mathematics,Manifold,Unit sphere
Journal
Volume
Issue
ISSN
63
6
0018-9286
Citations 
PageRank 
References 
7
0.65
22
Authors
3
Name
Order
Citations
PageRank
johan markdahl1297.43
Johan Thunberg213819.15
Goncalves, J.340442.24