EXPONENTIAL STABILITY OF LINEAR-SYSTEMS WITH COMMENSURATE TIME-DELAYS

被引：11

作者：

KOGAN, J ^{[1
]}

LEIZAROWITZ, A ^{[1
]}

机构：

[1] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1995年 / 8卷 / 01期

关键词：

ROBUST STABILITY; TIME-DELAY SYSTEMS; COMMENSURATE DELAYS; QUASIPOLYNOMIAL FAMILIES;

D O I：

10.1007/BF01212367

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 consider a family of linear systems with commensurate time-delays. Each coefficient of the characteristic quasipolynomial and the delay is allowed to vary in prespecified intervals. The main result of the paper is a necessary and sufficient condition for stability of the family of quasipolynomials. This yields a computationally tractable numerical procedure which determines whether or not the family is exponentially stable.

引用

页码：65 / 81

页数：17

共 50 条

[1] LINEAR-SYSTEMS WITH COMMENSURATE TIME DELAYS - STABILITY AND STABILIZATION INDEPENDENT OF DELAY
KAMEN, EW
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (02) : 367 - 375
[2] Stability analysis of descriptor systems with multiple commensurate time-delays
Zahedi, Fatemeh
Haeri, Mohammad
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (15): : 8690 - 8705
[3] STABILITY ANALYSIS FOR LINEAR-SYSTEMS WITH TIME DELAYS
BARKER, LK
WHITESIDES, JL
[J]. JOURNAL OF SOUND AND VIBRATION, 1977, 51 (01) : 7 - 21
[4] Finite spectrum assignment for linear systems with non-commensurate time-delays
Suyama, K
[J]. LINEAR TIME DELAY SYSTEMS (LTDS'98), 1999, : 39 - 44
[5] Finite spectrum assignment for linear systems with non-commensurate time-delays
Suyama, K
[J]. AUTOMATICA, 2001, 37 (01) : 43 - 49
[6] Computer algebra methods for the stability analysis of differential systems with commensurate time-delays
Bouzidi, Yacine
Poteaux, Adrien
Quadrat, Alban
[J]. IFAC PAPERSONLINE, 2016, 49 (10): : 194 - 199
[7] STABILIZATION OF LINEAR-SYSTEMS WITH NON-COMMENSURATE DELAYS
WATANABE, K
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (01) : 333 - 342
[8] THE ASYMPTOTIC STABILITY OF LINEAR AUTONOMOUS SYSTEMS WITH COMMENSURATE TIME DELAYS
SU, JH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (06) : 1114 - 1117
[9] STABILITY OF LINEAR-SYSTEMS WITH TIME-VARYING DELAYS
XU, DY
[J]. KEXUE TONGBAO, 1988, 33 (08): : 626 - 631
[10] Region stability of linear stochastic discrete systems with time-delays
Li, Gang
Gao, Yuxia
Chen, Ming
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)

← 1 2 3 4 5 →