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On the strong invariance property for non-Lipschitz dynamics

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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.
    Mathematics Subject Classification: Primary: 34A60; Secondary: 34D05.


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