An invariance principle for time-varying systems.
In this paper we propose an invariance principle for time-varying dynamical systems. We first present a novel proof of the Krasovskii-Lasalle invariance principle for forward time using invariance properties of regions of attraction, rather than the invariance property of the limit set. We then prop...
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| Format: | Conference item |
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IEEE
2012
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| _version_ | 1797083022404616192 |
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| author | Hancock, E Papachristodoulou, A |
| author_facet | Hancock, E Papachristodoulou, A |
| author_sort | Hancock, E |
| collection | OXFORD |
| description | In this paper we propose an invariance principle for time-varying dynamical systems. We first present a novel proof of the Krasovskii-Lasalle invariance principle for forward time using invariance properties of regions of attraction, rather than the invariance property of the limit set. We then propose an invariance principle for bounded time-varying systems, in the spirit of the classical result, by using the Lasalle-Yoshizawa theorem and a uniformity condition. The simple, practical use of the theorem is shown using an example of a pendulum with time-varying parameters. © 2012 IEEE. |
| first_indexed | 2024-03-07T01:36:12Z |
| format | Conference item |
| id | oxford-uuid:954465c2-0424-4b86-947d-dc2afce0e2e2 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:36:12Z |
| publishDate | 2012 |
| publisher | IEEE |
| record_format | dspace |
| spelling | oxford-uuid:954465c2-0424-4b86-947d-dc2afce0e2e22022-03-26T23:45:03ZAn invariance principle for time-varying systems.Conference itemhttp://purl.org/coar/resource_type/c_5794uuid:954465c2-0424-4b86-947d-dc2afce0e2e2Symplectic Elements at OxfordIEEE2012Hancock, EPapachristodoulou, AIn this paper we propose an invariance principle for time-varying dynamical systems. We first present a novel proof of the Krasovskii-Lasalle invariance principle for forward time using invariance properties of regions of attraction, rather than the invariance property of the limit set. We then propose an invariance principle for bounded time-varying systems, in the spirit of the classical result, by using the Lasalle-Yoshizawa theorem and a uniformity condition. The simple, practical use of the theorem is shown using an example of a pendulum with time-varying parameters. © 2012 IEEE. |
| spellingShingle | Hancock, E Papachristodoulou, A An invariance principle for time-varying systems. |
| title | An invariance principle for time-varying systems. |
| title_full | An invariance principle for time-varying systems. |
| title_fullStr | An invariance principle for time-varying systems. |
| title_full_unstemmed | An invariance principle for time-varying systems. |
| title_short | An invariance principle for time-varying systems. |
| title_sort | invariance principle for time varying systems |
| work_keys_str_mv | AT hancocke aninvarianceprinciplefortimevaryingsystems AT papachristodouloua aninvarianceprinciplefortimevaryingsystems AT hancocke invarianceprinciplefortimevaryingsystems AT papachristodouloua invarianceprinciplefortimevaryingsystems |