Butcher series and control theory

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dc.creatorHarrivel, Dikanaina
dc.date2006-03-06
dc.date.accessioned2026-07-07T07:06:34Z
dc.date.available2026-07-07T07:06:34Z
dc.descriptionWe show how solutions of a non--linear differential equation can be written as sum indexed by planar trees: the Butcher series. Then we use that property in order to control non--linear differential equation. We show that if the linearized system is controllable then the system itself is controllable if the nonlinear term is small enough and we express explicitly the control as a sum indexed by planar tree which each terms is obtained by minimization of a functional.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0603133
dc.identifierhttp://arxiv.org/abs/math/0603133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110076
dc.subjectOptimization and Control
dc.subjectClassical Analysis and ODEs
dc.subject34H05; 93C10; 93C15; 41A58; 49J40; 93B03
dc.titleButcher series and control theory
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