Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems

被引：14

作者：

Michiels, W ^{[1
]}

Sepulchre, R

Roose, D

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Louvain, Belgium

[2] Univ Liege, Inst Montefiore, B-4000 Liege, Belgium

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2001年 / 40卷 / 03期

关键词：

cascade systems; delay equations; nonlinear control;

D O I：

10.1137/S0363012999365042

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper the effect of bounded input perturbations on the stability of nonlinear globally asymptotically stable delay differential equations is analyzed. We investigate under which conditions global stability is preserved and if not, whether semiglobal stabilization is possible by controlling the size or shape of the perturbation. These results are used to study the stabilization of partially linear cascade systems with partial state feedback.

引用

页码：661 / 680

页数：20

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