eprintid: 1473
rev_number: 7
eprint_status: archive
userid: 6
dir: disk0/00/00/14/73
datestamp: 2013-02-13 07:50:17
lastmod: 2013-02-13 07:50:17
status_changed: 2013-02-13 07:50:17
type: book_section
metadata_visibility: show
creators_name: Di Cairano, Stefano
creators_name: Pascucci, Carlo A.
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: The rendezvous dynamics under linear quadratic optimal control
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Asymptotic stability; Cost function; Eigenvalues and eigenfunctions; Observability; Optimal control; Vectors; Vehicle dynamics
note: 51st IEEE Conference on Decision and Control December 10-13, 2012. Maui, Hawaii, USA
abstract: This paper investigates the dynamics of networks of systems achieving rendezvous under linear quadratic optimal control. While the dynamics of rendezvous were studied extensively for the symmetric case, where all systems have exactly the same dynamics (such as simple integrators), this paper investigates the rendezvous dynamics for the general case when the dynamics of the systems may be different. We show that the rendezvous is stable and that the post-rendezvous dynamics of the network of systems is entirely defined by the common eigenvalues with common eigenvectors output image. The approach is also extended to the case of constraints on systems states, inputs, and outputs.
date: 2012-12
date_type: published
publisher: IEEE
pagerange: 6554 -6559
event_title: Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
id_number: 10.1109/CDC.2012.6426613
refereed: TRUE
isbn: 978-1-4673-2064-1
book_title: Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426613&isnumber=6425800
citation:   Di Cairano, Stefano and Pascucci, Carlo A. and Bemporad, Alberto  The rendezvous dynamics under linear quadratic optimal control.   In:  Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012.   IEEE, 6554 -6559.  ISBN 978-1-4673-2064-1      (2012)