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arXiv · 2502.16066

Nagumo's Theorem for Dubovitskij-Miljutin Tangent Cones

Michael Livesay
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Abstract

This paper focuses on a class of additive perturbations in dynamical systems. An equivalence statement for this construction is discovered, and consequently, a method of checking a notion of positive invariance with perturbation. The resulting conclusion is an equivalence between a more strict definition of positive invariance, based on a perturbation extension of the system and the Dubovitskij-Miljutin tangent cone.

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Michael Livesay. 2025-02-22. Nagumo's Theorem for Dubovitskij-Miljutin Tangent Cones. https://arxiv.org/abs/2502.16066

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