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Communications on Pure and Applied Analysis
Article . 2006 . Peer-reviewed
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Communications on Pure and Applied Analysis
Article
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arXiv.org e-Print Archive
Preprint . 2004
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https://dx.doi.org/10.48550/ar...
Article . 2004
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https://dx.doi.org/10.3934/cpa...
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On the strong invariance property for non-Lipschitz dynamics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2006Embargo end date: 01 Jan 2004Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Communications on Pure and Applied Analysis, volume 5, pages 107-124 (issn: 1534-0392, eissn: 1553-5258, Copyright policy )
Authors: Krastanov, Mikhail; Malisoff, Michael; Wolenski, Peter;

doi: 10.3934/cpaa.2006.5.107 , 10.48550/arxiv.math/0403180

arXiv: math/0403180

On the strong invariance property for non-Lipschitz dynamics

Abstract

We provide a new sufficient condition for strong invariance for differential inclusions, under very general conditions on the dynamics, in terms of a Hamiltonian inequality. In lieu of the usual Lipschitzness assumption on the multifunction, we assume a feedback realization condition that can in particular be satisfied for measurable dynamics that are neither upper nor lower semicontinuous.

15 pages, 0 figures. For this revision, the authors added a remark about an alternative nonconstructive proof of the main result

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Keywords

Optimization and Control (math.OC), FOS: Mathematics, Mathematics - Optimization and Control

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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