Analytical stability bound for delayed second-order systems with repeating poles using Lambert function W

被引：35

作者：

Chen, YQ ^{[1
]}

Moore, KL ^{[1
]}

机构：

[1] Utah State Univ, Dept Elect & Comp Engn, Ctr Self Organizing & Intelligent Syst, UMC 4160,Coll Engn, Logan, UT 84322 USA

来源：

AUTOMATICA | 2002年 / 38卷 / 05期

关键词：

delay; stability bound; analytical solutions; Lambert function;

D O I：

10.1016/S0005-1098(01)00264-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

By using Lambert function, the analytical stability bound is obtained in this paper for delayed second-order systems with repeatable poles. An example is presented to illustrate the obtained analytical result. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：891 / 895

页数：5

共 14 条

[1]

[Anonymous], 1949, P ROYAL SOC EDINBURG

[2]

[Anonymous], LEONHARDI EULERI OPE

[3]

Asl FM, 2000, P AMER CONTR CONF, P2496, DOI 10.1109/ACC.2000.878632

[4]

Bellman R., 1963, DIFFERENTIAL DIFFERE

[5]

Corless R., 1993, MAPLE TECHNICAL NEWS, V9, P12

[6] On the Lambert W function [J].

Corless, RM ;

Gonnet, GH ;

Hare, DEG ;

Jeffrey, DJ ;

Knuth, DE .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 5 (04) :329-359

[7]

Corless Robert M., 1997, ISSAC 97 P 1997 INT, P197, DOI DOI 10.1145/258726.258783

[8]

EULER L, 1777, L EULERI OPERA OMNIA, V15, P268

[9]

Gorecki H., 1989, Analysis and synthesis of time delay systems

[10]

Jeffrey D.J., 1996, Mathematical Scientist, V21, P1

← 1 2 →