Controllability of singularly perturbed linear time-dependent systems with small state delay

被引：13

作者：

Glizer, VY ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Fac Aerosp Engn, IL-32000 Haifa, Israel

来源：

DYNAMICS AND CONTROL | 2001年 / 11卷 / 03期

关键词：

control system with multiple state delay; singularly perturbed system; reduced-order system; boundary-layer system; Euclidean space controllability;

D O I：

10.1023/A:1015276121625

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A singularly perturbed linear time-dependent control system with multiple point and distributed small delays in state variables is considered. Two lower-dimension systems (the reduced-order and the boundary-layer ones), associated with the original system, are introduced. The reduced-order and the boundary-layer systems are in separate time scales, and they do not contain the small parameter any more. Connections between the properties of controllability of these systems and such a property of the original system itself are established for all sufficiently small values of the parameter of singular perturbations.

引用

页码：261 / 281

页数：21

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