Title
The rendezvous dynamics under linear quadratic optimal control.
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.
Year
DOI
Venue
2012
10.1109/CDC.2012.6426613
CDC
Keywords
Field
DocType
eigenvalues and eigenfunctions,linear quadratic control,eigenvalues,eigenvectors output image,linear quadratic optimal control,post-rendezvous dynamics,simple integrators,symmetric case,system dynamics,system inputs,system outputs,systems states
Mathematical optimization,Control theory,Computer science,Integrator,Rendezvous,Linear quadratic optimal control,Eigenvalues and eigenvectors
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
5
3
Name
Order
Citations
PageRank
Stefano Di Cairano130944.69
Carlo A. Pascucci2131.94
Alberto Bemporad34353568.62