Characterization of gradient control systems

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dc.creatorCortes, Jorge
dc.creatorvan der Schaft, Arjan
dc.creatorCrouch, Peter E.
dc.date2003-03-29
dc.date.accessioned2026-07-07T04:56:29Z
dc.date.available2026-07-07T04:56:29Z
dc.descriptionWe investigate necessary and sufficient conditions under which a general nonlinear affine control system with outputs can be written as a gradient control system corresponding to some pseudo-Riemannian metric defined on the state space. The results rely on a suitable notion of compatibility of the system with respect to a given affine connection, and on the output behavior of the prolonged system and the gradient extension. The symmetric product associated with an affine connection plays a key role in the discussion.
dc.description21 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0303371
dc.identifierhttp://arxiv.org/abs/math/0303371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66937
dc.subjectOptimization and Control
dc.subjectDifferential Geometry
dc.subject93C10; 93B29; 53B05; 93B15
dc.titleCharacterization of gradient control systems
dc.typetext

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