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arxiv: math/0403180 · v5 · submitted 2004-03-10 · 🧮 math.OC

On the Strong Invariance Property for Non-Lipschitz Dynamics

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keywords dynamicsconditioninvariancestrongassumeassumptionconditionsdifferential
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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.

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