Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings
A Lyapunov-type theorem is developed to study well-posedness and almost surely (Formula presented.)-exponential stability of dynamical systems driven by Lévy processes. Sufficient conditions imposed by the theorem, which are relatively easy to be verified, make it applicable to control design and st...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Taylor & Francis
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/68338 |
| _version_ | 1848762023675953152 |
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| author | Do, Khac Duc Nguyen, H. |
| author_facet | Do, Khac Duc Nguyen, H. |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A Lyapunov-type theorem is developed to study well-posedness and almost surely (Formula presented.)-exponential stability of dynamical systems driven by Lévy processes. Sufficient conditions imposed by the theorem, which are relatively easy to be verified, make it applicable to control design and stability analysis. The theorem is then applied to design tracking controllers to achieve almost surely (Formula presented.)-exponential stability for magnetic bearings under diffuse-jump loads subject to an output tracking constraint. |
| first_indexed | 2025-11-14T10:40:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-68338 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:40:59Z |
| publishDate | 2018 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-683382020-09-07T04:55:51Z Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings Do, Khac Duc Nguyen, H. A Lyapunov-type theorem is developed to study well-posedness and almost surely (Formula presented.)-exponential stability of dynamical systems driven by Lévy processes. Sufficient conditions imposed by the theorem, which are relatively easy to be verified, make it applicable to control design and stability analysis. The theorem is then applied to design tracking controllers to achieve almost surely (Formula presented.)-exponential stability for magnetic bearings under diffuse-jump loads subject to an output tracking constraint. 2018 Journal Article http://hdl.handle.net/20.500.11937/68338 10.1080/00207179.2018.1482502 Taylor & Francis fulltext |
| spellingShingle | Do, Khac Duc Nguyen, H. Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings |
| title | Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings |
| title_full | Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings |
| title_fullStr | Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings |
| title_full_unstemmed | Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings |
| title_short | Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings |
| title_sort | almost sure exponential stability of dynamical systems driven by lévy processes and its application to control design for magnetic bearings |
| url | http://hdl.handle.net/20.500.11937/68338 |