Assessing Stability of Time-Delay Systems using Rational Systems

被引：7

作者：

de Oliveira, Mauricio C. ^{[1
]}

Souza, Fernando O. ^{[2
]}

Palhares, Reinaldo M. ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Mech & Aerosp Engn, 9500 Gilmam Dr, San Diego, CA 92093 USA

[2] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270 Belo Horizonte, MG, Brazil

来源：

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年

关键词：

D O I：

10.1109/CDC.2008.4739328

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 we show how stability of an infinite-dimensional linear time-delay system can be assessed by studying the stability of an associated finite-dimensional linear system, constructed after substituting the exponential function in the characteristic equation of the delay-system by a high enough finite power of the bilinear transformation.

引用

页码：4012 / 4017

页数：6

共 9 条

[1] [Anonymous], COURSE ADV CALCULUS
[2] Gu K., 2003, CONTROL ENGN SER BIR, DOI 10.1007/978-1-4612-0039-0
[3] Hale J., 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7
[4] An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
Olgac, N
Sipahi, R
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (05) : 793 - 797
[5] Rekasius ZV, 1980, P JOINT AUT CONTR C
[6] Time-delay systems: an overview of some recent advances and open problems
Richard, JP
[J]. AUTOMATICA, 2003, 39 (10) : 1667 - 1694
[7] AN ANALYTIC STABILITY TEST FOR A CLASS OF TIME-DELAY SYSTEMS
THOWSEN, A
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (03) : 735 - 736
[8] THE ROUTH-HURWITZ METHOD FOR STABILITY DETERMINATION OF LINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS
THOWSEN, A
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1981, 33 (05) : 991 - 995
[9] Zhou K., 1996, Robust and Optimal Control

← 1 →