Nagumo's Theorem for Dubovitskij-Miljutin Tangent Cones
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915251226673152 |
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| author | Livesay, Michael |
| author_facet | Livesay, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16066 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nagumo's Theorem for Dubovitskij-Miljutin Tangent Cones Livesay, Michael Dynamical Systems 34A12, 37A35 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. |
| title | Nagumo's Theorem for Dubovitskij-Miljutin Tangent Cones |
| topic | Dynamical Systems 34A12, 37A35 |
| url | https://arxiv.org/abs/2502.16066 |