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...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/713847 |
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| _version_ | 1849398988079366144 |
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| author | Yi Zhang Yuyun Zhao Honglei Xu Hongting Shi Kok Lay Teo |
| author_facet | Yi Zhang Yuyun Zhao Honglei Xu Hongting Shi Kok Lay Teo |
| author_sort | Yi Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a432e4f294e44fb6bccc71f89a81489c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a432e4f294e44fb6bccc71f89a81489c2025-08-20T03:38:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/713847713847On Boundedness and Attractiveness of Nonlinear Switched Delay SystemsYi Zhang0Yuyun Zhao1Honglei Xu2Hongting Shi3Kok Lay Teo4Department of Mathematics, China University of Petroleum (Beijing), Beijing 102249, ChinaDepartment of Mathematics, China University of Petroleum (Beijing), Beijing 102249, ChinaSchool of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematical Science, Capital Normal University, Beijing 1000484, ChinaDepartment of Mathematics and Statistics, Curtin University, Perth, WA 6845, AustraliaThis 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.http://dx.doi.org/10.1155/2013/713847 |
| spellingShingle | Yi Zhang Yuyun Zhao Honglei Xu Hongting Shi Kok Lay Teo On Boundedness and Attractiveness of Nonlinear Switched Delay Systems Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2013/713847 |
| work_keys_str_mv | AT yizhang onboundednessandattractivenessofnonlinearswitcheddelaysystems AT yuyunzhao onboundednessandattractivenessofnonlinearswitcheddelaysystems AT hongleixu onboundednessandattractivenessofnonlinearswitcheddelaysystems AT hongtingshi onboundednessandattractivenessofnonlinearswitcheddelaysystems AT koklayteo onboundednessandattractivenessofnonlinearswitcheddelaysystems |