Convergence bounds for discrete-time second-order multi-agent-systems

Publikationstyp
Conference Paper
Date Issued
2013
Sprache
English
Author(s)
Eichler, Annika  
Werner, Herbert  
Institut
Regelungstechnik E-14  
TORE-URI
http://hdl.handle.net/11420/6019
Start Page
1866
End Page
1871
Article Number
6669527
Citation
European Control Conference (ECC 20013): 1866-1871 (2013)
Contribution to Conference
European Control Conference, ECC 2013  
Publisher DOI
10.23919/ECC31304.2013
Publisher
IEEE
This paper presents convergence bounds for discrete-time second-order multi-agent systems with undirected or directed communication graphs. As has been shown before, the convergence depends on the eigenvalues of the Laplace matrix of the communication graph. For each eigenvalue (or eigenvalue pair) analytic bounds for the parameter set are given to render the protocol for that eigenvalue pair stable. In addition it is shown examplarily, that for the case of normalized Laplacian, the stabilizing solution set for the whole topology is non-empty. © 2013 EUCA.
DDC Class
600: Technik
620: Ingenieurwissenschaften