Well-posedness and asymptotic stability of nonlinear equations with delay and application in descriptor systems

Author

Wu, Jiancheng ; Liu, Feng ; Wo, Songlin ; Chen, Xiaoju

Author_Institution

Sch. of Math. & Phys., Changzhou Univ., Changzhou, China

fYear

2012

fDate

25-27 July 2012

Firstpage

1340

Lastpage

1344

Abstract

There have been many criteria on well-posedness and asymptotic stability for nonlinear algebra equations with delay. However, it is inconvenient to discuss descriptor systems by using these criteria. In this paper, new sufficient conditions for well-posedness and asymptotic stability of nonlinear algebra equations with delay are given. Based on these conditions, the criteria on well-posedness and asymptotic stability for nonlinear descriptor systems with delay are proposed conveniently. Finally, the effectiveness of the approach is illustrated by a numerical example.

Keywords

algebra; asymptotic stability; delays; nonlinear differential equations; nonlinear systems; asymptotic stability; delay; differential equations; nonlinear algebra equations; nonlinear descriptor systems; well-posedness; Asymptotic stability; Delay; Educational institutions; Equations; Jacobian matrices; Linear matrix inequalities; Asymptotic stability; Delay; Nonlinear algebra equation; Nonlinear descriptor system; Well-posedness;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390133