Stability analysis for nonlinear time-delay systems applying homogeneity

Author

Efimov, D. ; Polyakov, A. ; Perruquetti, W. ; Richard, J.-P.

Author_Institution

Non-A team @ Inria, Parc Sci. de la Haute Borne, Villeneuve d´Ascq, France

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

37

Lastpage

42

Abstract

Global delay independent stability is analyzed for nonlinear time-delay systems applying homogeneity theory. The results of [1] are extended to the case of non-zero degree of homogeneity. Several tools for stability analysis in time-delay systems using homogeneity are presented: in particular, it is shown that if a time-delay system is homogeneous with nonzero degree and it is globally asymptotically stable for some delay, then this property is preserved for any delay value, which is known as the independent of delay (IOD) stability. The results are illustrated by numerical experiments.

Keywords

asymptotic stability; delay systems; nonlinear dynamical systems; IOD stability; global asymptotic stability analysis; homogeneity theory; independent of delay; nonlinear time delay system; nonzero degree of homogeneity; Asymptotic stability; Delays; Differential equations; Nonlinear systems; Stability analysis; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on

Conference_Location

Los Angeles, CA

Print_ISBN

978-1-4799-7746-8

Type

conf

DOI

10.1109/CDC.2014.7039356

Filename

7039356