On Boundedness and Attractiveness of Nonlinear Switched Delay Systems | Zendy

Yi Zhang | Zendy; Yuyun Zhao | Zendy; Honglei Xu | Zendy; Hongting Shi | Zendy; Kok Lay Teo | Zendy

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On Boundedness and Attractiveness of Nonlinear Switched Delay Systems

Author(s) -

Yi Zhang,

Yuyun Zhao,

Honglei Xu,

Hongting Shi,

Kok Lay Teo

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/713847

Subject(s) - mathematics , nonlinear system , bounded function , attractiveness , attractor , control theory (sociology) , function (biology) , uniform boundedness , work (physics) , topology (electrical circuits) , mathematical analysis , computer science , control (management) , combinatorics , mechanical engineering , psychology , physics , quantum mechanics , artificial intelligence , evolutionary biology , psychoanalysis , engineering , biology

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

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