Controlling Multiparticle System on the Line, I

Andrey Sarychev ()
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Andrey Sarychev: Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze

No 2008-01, Working Papers - Mathematical Economics from Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa

Abstract: We study classical multiparticle system (e.g. Toda lattice) on the line whose dynamics will be controlled 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.

Keywords: multi-particle system; accessibility; controllability; state/feedback linearizability; optimal control; bang-bang structure (search for similar items in EconPapers)
Pages: 26 pages
Date: 2008-11
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