On boundedness and attractiveness of nonlinear switched delay systems

Zhang, Y.; Zhao, Y.; Xu, Honglei; Shi, H.; Teo, Kok Lay

doi:10.1155/2013/713847

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Access Status

Open access

Authors

Zhang, Y.

Zhao, Y.

Xu, Honglei

Shi, H.

Teo, Kok Lay

Date

2013

Type

Journal Article

Metadata

Show full item record

Citation

Zhang, Yi and Zhao, Yuyun and Xu, Honglei and Shi, Hongting and Teo, Kok Lay. 2013. On boundedness and attractiveness of nonlinear switched delay systems. Abstract and Applied Analysis. 2013 (Article ID 713847): pp, 1-8.

Source Title

Abstract and Applied Analysis

DOI

10.1155/2013/713847

ISSN

1085-3375

Remarks

This work is published under a Creative Commons Attribution Licence 3.0 http://creativecommons.org/licenses/by/3.0/au/

URI

http://hdl.handle.net/20.500.11937/13430

Collection

Curtin Research Publications

Abstract

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.