Differential inclusions and quasi-Lyapunov functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917069614743552 |
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| author | Ivanov, Martin Krastanov, Mikhail Ribarska, Nadezhda |
| author_facet | Ivanov, Martin Krastanov, Mikhail Ribarska, Nadezhda |
| contents | A sufficient condition for existence of a solution of a differential inclusion with a uniformly bounded right-hand side that has nonempty closed (possibly nonconvex) values is obtained. An Olech-type result is obtained as a corollary. An example, which originates from the Fuller problem from optimal control theory, is given to demonstrate the applicability of the main result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06100 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Differential inclusions and quasi-Lyapunov functions Ivanov, Martin Krastanov, Mikhail Ribarska, Nadezhda Optimization and Control 34A36, 34A60 A sufficient condition for existence of a solution of a differential inclusion with a uniformly bounded right-hand side that has nonempty closed (possibly nonconvex) values is obtained. An Olech-type result is obtained as a corollary. An example, which originates from the Fuller problem from optimal control theory, is given to demonstrate the applicability of the main result. |
| title | Differential inclusions and quasi-Lyapunov functions |
| topic | Optimization and Control 34A36, 34A60 |
| url | https://arxiv.org/abs/2511.06100 |