Title

On the strong invariance property for non-lipschitz dynamics

Document Type

Article

Publication Date

3-1-2006

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 Source (Journal or Book title)

Communications on Pure and Applied Analysis

First Page

107

Last Page

124

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