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The rendezvous dynamics under linear quadratic optimal control

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)

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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.

Item Type: Book Section
Identification Number: 10.1109/CDC.2012.6426613
Additional Information: 51st IEEE Conference on Decision and Control December 10-13, 2012. Maui, Hawaii, USA
Uncontrolled Keywords: Asymptotic stability; Cost function; Eigenvalues and eigenfunctions; Observability; Optimal control; Vectors; Vehicle dynamics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 13 Feb 2013 07:50
Last Modified: 13 Feb 2013 07:50
URI: http://eprints.imtlucca.it/id/eprint/1473

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