https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=Graph_Laplacians_and_Stabilization_of_Vehicle_Formations 2026-09-18T17:30:31Z Revision history for this page on the wiki MediaWiki 1.44.2 https://murray.cds.caltech.edu/index.php?title=Graph_Laplacians_and_Stabilization_of_Vehicle_Formations&diff=19960&oldid=prev 2016-05-15T06:19:15Z

<p>htdb2wiki: creating page for 2001g_fm01-cds.html</p> <p><b>New page</b></p><div>{{HTDB paper<br /> | authors = J. Alexander Fax and Richard M. Murray<br /> | title = Graph Laplacians and Stabilization of Vehicle Formations<br /> | source = 2002 IFAC World Congress<br /> | year = 2001<br /> | type = Preprint<br /> | funding = AFOSR<br /> | url = http://www.cds.caltech.edu/~murray/preprints/fm01-cds.pdf<br /> | abstract = <br /> Control of vehicle formations has emerged as a topic of significant interest to the controls<br /> community. In this paper, we merge tools from graph theory and control theory to derive<br /> stability criteria for formation stabilization. The interconnection between vehicles (i.e., which<br /> vehicles are sensed by other vehicles) is modeled as a graph, and the eigenvalues of the Laplacian<br /> matrix of the graph are used in stating a Nyquist-like stability criterion for vehicle formations.<br /> The location of the Laplacian eigenvalues can be correlated to the graph structure, and therefore<br /> used to identify desirable and undesirable formation interconnection topologies.<br /> | flags = <br /> | filetype = 11 pages, PDF<br /> | filesize = 138K<br /> | tag = fm01-cds<br /> | id = 2001g<br /> }}</div>

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