Title
Fast synchronization with directed small-world networks
Abstract
In different articles it is shown that multi-agent synchronization can be faster under certain undirected network topologies. In this paper, we present an algorithm which generates strongly connected directed small-world networks. The main goal is a further enhancement of convergence speed. The generated graphs solve the consensus problem significantly faster than regular networks with the same number of links. However, the produced structures are generally not balanced, i.e. the out-degree remains constant, while the in-degree can vary. In this case an averaging consensus will not be reached. To solve this inconvenience, we propose a heuristic sorting algorithm to balance the generated directed small-world networks. In addition, balancing has yet another positive influence on the convergence speed. The result is a balanced, directed small-world network which solves the consensus problem faster than undirected small-world networks.
Year
DOI
Venue
2015
10.1109/ICEEE.2015.7357922
2015 12th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)
Keywords
Field
DocType
Leaderless multi-agent systems,consensus problem,graph theory,directed graphs,graph Laplacian,directed small-world networks,fast synchronization,optimized topology
Consensus,Graph theory,Mathematical optimization,Computer science,Small-world network,Directed acyclic graph,Theoretical computer science,Network topology,Strongly connected component,Feedback arc set,Graph (abstract data type)
Conference
Citations 
PageRank 
References 
1
0.37
4
Authors
3
Name
Order
Citations
PageRank
Flavio Montalbano110.37
Saman Khodaverdian283.96
Jürgen Adamy319239.49