On Boundedness and Attractiveness of Nonlinear Switched Delay Systems

Yi Zhang, Yuyun Zhao, Honglei Xu, Hongting Shi and Kok Lay Teo

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:713847

DOI: 10.1155/2013/713847

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