Infinitesimal Characterizations for Strong Invariance and Monotonicity for Non-Lipschitz Control Systems

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dc.creatorMalisoff, Michael
dc.date2004-05-30
dc.date2005-03-19
dc.date.accessioned2026-07-07T06:27:06Z
dc.date.available2026-07-07T06:27:06Z
dc.descriptionWe provide new infinitesimal characterizations for strong invariance of multifunctions in terms of Hamiltonian inequalities and tangent cones. In lieu of the standard local Lipschitzness assumption on the multifunction, we assume a new feedback realizability condition that can in particular be satisfied by control systems that are discontinuous in the state variable. Our realization condition is based on H. Sussmann's unique limiting property, and allows a more general class of feedback realizations than is allowed by the recent strong invariance characterizations of Krastanov, Malisoff, and Wolenski. We also give new nonsmooth monotonicity characterizations for control systems that may be discontinuous in the state.
dc.description19 pages, 0 figures. For this revision, the author added a remark about an alternative nonconstructive proof of the main result
dc.identifierhttps://arxiv.org/abs/math/0405586
dc.identifierhttp://arxiv.org/abs/math/0405586
dc.identifierCommunications on Pure and Applied Analysis, Volume 5, Issue 1, pp. 107-124, March 2006 [Supplementary Material]
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97316
dc.subjectOptimization and Control
dc.subject49J52, 93-xx
dc.titleInfinitesimal Characterizations for Strong Invariance and Monotonicity for Non-Lipschitz Control Systems
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