On boundedness and attractiveness of nonlinear switched delay systems
This paper is concerned with the boundedness and attractiveness of nonlinear switched delay systems whose subsystems have different equilibria. Some sufficient conditions which can guarantee the system’s boundedness are obtained. In addition, we work out the region where the solution will remain and...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
Hindawi Publishing Corporation
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/13430 |
| _version_ | 1848748345343868928 |
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| author | Zhang, Y. Zhao, Y. Xu, Honglei Shi, H. Teo, Kok Lay |
| author_facet | Zhang, Y. Zhao, Y. Xu, Honglei Shi, H. Teo, Kok Lay |
| author_sort | Zhang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper is concerned with the boundedness and attractiveness of nonlinear switched delay systems whose subsystems have different equilibria. Some sufficient conditions which can guarantee the system’s boundedness are obtained. In addition, we work out the region where the solution will remain and furthermore the relationship between the initial function and the bounded region. Based on the new concept of attractor with switching laws, we show that the nonlinear switched delay system is attractive and then obtain the attractive region. |
| first_indexed | 2025-11-14T07:03:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-13430 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:03:34Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-134302017-09-13T14:57:34Z On boundedness and attractiveness of nonlinear switched delay systems Zhang, Y. Zhao, Y. Xu, Honglei Shi, H. Teo, Kok Lay This paper is concerned with the boundedness and attractiveness of nonlinear switched delay systems whose subsystems have different equilibria. Some sufficient conditions which can guarantee the system’s boundedness are obtained. In addition, we work out the region where the solution will remain and furthermore the relationship between the initial function and the bounded region. Based on the new concept of attractor with switching laws, we show that the nonlinear switched delay system is attractive and then obtain the attractive region. 2013 Journal Article http://hdl.handle.net/20.500.11937/13430 10.1155/2013/713847 Hindawi Publishing Corporation fulltext |
| spellingShingle | Zhang, Y. Zhao, Y. Xu, Honglei Shi, H. Teo, Kok Lay On boundedness and attractiveness of nonlinear switched delay systems |
| title | On boundedness and attractiveness of nonlinear switched delay systems |
| title_full | On boundedness and attractiveness of nonlinear switched delay systems |
| title_fullStr | On boundedness and attractiveness of nonlinear switched delay systems |
| title_full_unstemmed | On boundedness and attractiveness of nonlinear switched delay systems |
| title_short | On boundedness and attractiveness of nonlinear switched delay systems |
| title_sort | on boundedness and attractiveness of nonlinear switched delay systems |
| url | http://hdl.handle.net/20.500.11937/13430 |