New Results on Practical Set Stability of Switched Nonlinear Systems
In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as e -practical set stability and a t -persistent switch...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
Engineers Australia, IEEE
2013
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| Online Access: | http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6697266 http://hdl.handle.net/20.500.11937/49306 |
| _version_ | 1848758211735191552 |
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| author | Zhang, Y. Yang, J. Xu, Honglei Teo, Kok Lay |
| author2 | Unknown |
| author_facet | Unknown Zhang, Y. Yang, J. Xu, Honglei Teo, Kok Lay |
| author_sort | Zhang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as e -practical set stability and a t -persistent switching law, we explicitly construct a closed bounded set G and prove that under an appropriate t -persistent switching law the switched system is e -practically (asymptotically) set stable with respect to G. Finally, we present a numerical example to illustrate the results obtained. |
| first_indexed | 2025-11-14T09:40:23Z |
| format | Conference Paper |
| id | curtin-20.500.11937-49306 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:40:23Z |
| publishDate | 2013 |
| publisher | Engineers Australia, IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-493062017-09-13T15:37:03Z New Results on Practical Set Stability of Switched Nonlinear Systems Zhang, Y. Yang, J. Xu, Honglei Teo, Kok Lay Unknown In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as e -practical set stability and a t -persistent switching law, we explicitly construct a closed bounded set G and prove that under an appropriate t -persistent switching law the switched system is e -practically (asymptotically) set stable with respect to G. Finally, we present a numerical example to illustrate the results obtained. 2013 Conference Paper http://hdl.handle.net/20.500.11937/49306 10.1109/AUCC.2013.6697266 http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6697266 Engineers Australia, IEEE restricted |
| spellingShingle | Zhang, Y. Yang, J. Xu, Honglei Teo, Kok Lay New Results on Practical Set Stability of Switched Nonlinear Systems |
| title | New Results on Practical Set Stability of Switched Nonlinear Systems |
| title_full | New Results on Practical Set Stability of Switched Nonlinear Systems |
| title_fullStr | New Results on Practical Set Stability of Switched Nonlinear Systems |
| title_full_unstemmed | New Results on Practical Set Stability of Switched Nonlinear Systems |
| title_short | New Results on Practical Set Stability of Switched Nonlinear Systems |
| title_sort | new results on practical set stability of switched nonlinear systems |
| url | http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6697266 http://hdl.handle.net/20.500.11937/49306 |