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On the Strong Invariance Property for Non-Lipschitz Dynamics ∗ (2008)

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.

Publication details
Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.66.8646
Source http://math.lsu.edu/~preprint/2004/mkmmpw2004a.pdf
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Type text
Language English
Relation 10.1.1.4.4295, 10.1.1.117.5607, 10.1.1.15.6744