Conference Publications

[176598]
Title: Convergence Bounds for Discrete-Time Second-Order Multi-Agent-Systems.
Written by: Eichler, Annika and Werner, Herbert
in: <em>European Control Conference</em>. (2013).
Volume: Number:
on pages: 1866--1871
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.23919/ECC.2013.6669527
URL: https://doi.org/10.23919/ECC.2013.6669527
ARXIVID:
PMID:

[www]

Note:

Abstract: 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.

[176598]
Title: Convergence Bounds for Discrete-Time Second-Order Multi-Agent-Systems.
Written by: Eichler, Annika and Werner, Herbert
in: <em>European Control Conference</em>. (2013).
Volume: Number:
on pages: 1866--1871
Chapter:
Editor:
Publisher:
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.23919/ECC.2013.6669527
URL: https://doi.org/10.23919/ECC.2013.6669527
ARXIVID:
PMID:

[www]

Note:

Abstract: 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.