On Boundedness and Attractiveness of Nonlinear Switched Delay Systems

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: Yi Zhang, Yuyun Zhao, Honglei Xu, Hongting Shi, Kok Lay Teo
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/713847
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spelling doaj-a432e4f294e44fb6bccc71f89a81489c2020-11-24T22:54:33ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Yi Zhang
Yuyun Zhao
Honglei Xu
Hongting Shi
Kok Lay Teo
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
author_facet Yi Zhang
Yuyun Zhao
Honglei Xu
Hongting Shi
Kok Lay Teo
author_sort Yi Zhang
title On Boundedness and Attractiveness of Nonlinear Switched Delay Systems
title_short 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_sort on boundedness and attractiveness of nonlinear switched delay systems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/713847
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AT yuyunzhao onboundednessandattractivenessofnonlinearswitcheddelaysystems
AT hongleixu onboundednessandattractivenessofnonlinearswitcheddelaysystems
AT hongtingshi onboundednessandattractivenessofnonlinearswitcheddelaysystems
AT koklayteo onboundednessandattractivenessofnonlinearswitcheddelaysystems
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