On the Strong Invariance Property for Non-Lipschitz Dynamics

Details On the Strong Invariance Property for Non-Lipschitz Dynamics On the Strong Invariance Property for Non-Lipschitz Dynamics

2004-03-10

arxiv.org/abs/math/0403180v5

Communications on Pure and Applied Analysis, Volume 5, Issue 1, pp. 107-124, March 2006

Mathematics

Optimization and Control

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

Scientific paper

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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