Stability Analysis for Nonlinear Time-Delay Systems Applying Homogeneity

被引：0

作者：

Efimov, D. ^{[1
,2
,3
]}

Polyakov, A. ^{[1
,2
]}

Perruquetti, W. ^{[1
,2
]}

Richard, J. -P ^{[1
,2
]}

机构：

[1] NonA Team Inria, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France

[2] Ecole Cent Lille, LAGIS UMR CNRS 8219, F-59651 Villeneuve Dascq, France

[3] St Petersburg State Univ Informat Technol Mech &, Dept Control Syst & Informat, St Petersburg 197101, Russia

来源：

2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：37 / 42

页数：6

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