Two Results for the Omega Limit Sets of Dynamical Systems
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929628711485440 |
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| author | Karafyllis, Iasson |
| author_facet | Karafyllis, Iasson |
| contents | This paper provides two results for the omega limit sets of a dynamical system. We show that omega limit sets can be estimated by using functions that satisfy different (and in many cases less demanding) assumptions than the usual assumptions in Lyapunov theorems and LaSalle's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two Results for the Omega Limit Sets of Dynamical Systems Karafyllis, Iasson Dynamical Systems Optimization and Control This paper provides two results for the omega limit sets of a dynamical system. We show that omega limit sets can be estimated by using functions that satisfy different (and in many cases less demanding) assumptions than the usual assumptions in Lyapunov theorems and LaSalle's theorem. |
| title | Two Results for the Omega Limit Sets of Dynamical Systems |
| topic | Dynamical Systems Optimization and Control |
| url | https://arxiv.org/abs/2412.10014 |