Controlling Multiparticle System on a Line. I

Simple item page
dc.creatorSarychev, Andrey
dc.date2008-09-13
dc.date.accessioned2026-07-07T10:02:46Z
dc.date.available2026-07-07T10:02:46Z
dc.descriptionWe study a classical multiparticle system (such as Toda lattice) whose dynamics we intend to control by forces applied to few particles of the system. Various problem settings, typical for control theory are posed for this model; among those: studying accessibility and controllability properties, structure properties and feedback linearization of respective control system, time-optimal relocation of particles. We obtain complete or partial answers to the posed questions; criteria and methods of geometric control theory are employed. In the present part I we consider nonperiodic multiparticle system. In the forthcoming Part II we address controllability issue for multiparticle system subject to periodic boundary conditions. That study would require an extension and refinement of known methods of geometric control.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0809.2365
dc.identifierhttp://arxiv.org/abs/0809.2365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169093
dc.subjectOptimization and Control
dc.subjectMathematical Physics
dc.subject93B29, 70Q05, 93B05, 93B10,49K30
dc.titleControlling Multiparticle System on a Line. I
dc.typetext

Files

Collections

arXiv