On convergence rates of switched linear systems

被引：4

作者：

Sun, ZD ^{[1
]}

Shorten, R ^{[1
]}

机构：

[1] Natl Univ Ireland, Hamilton Inst, Maynooth, Kildare, Ireland

来源：

42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年

关键词：

D O I：

10.1109/CDC.2003.1272346

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 introduce the concepts of best case and worst case convergence rates for switched linear systems. Their connections to the problems of stability and stabilization are briefly discussed. For simultaneously triangularisable switched systems, explicit formulas are presented for the convergence rates in terms of the system eigenvalues.

引用

页码：4800 / 4805

页数：6

共 14 条

[1] BARABANOV NE, 1988, AVTOMAT TELEMEKH, P40
[2] PERIODICITY AND CHAOS FROM SWITCHED FLOW SYSTEMS - CONTRASTING EXAMPLES OF DISCRETELY CONTROLLED CONTINUOUS SYSTEMS
CHASE, C
SERRANO, J
RAMADGE, PJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (01) : 70 - 83
[3] Perspectives and results on the stability and stabilizability of hybrid systems
DeCarlo, RA
Branicky, MS
Pettersson, S
Lennartson, B
[J]. PROCEEDINGS OF THE IEEE, 2000, 88 (07) : 1069 - 1082
[4] SETS OF NEARLY TRIANGULAR MATRICES
GAINES, FJ
THOMPSON, RC
[J]. DUKE MATHEMATICAL JOURNAL, 1968, 35 (03) : 441 - &
[5] Laffey T.J., 1978, LINEAR MULTILINEAR A, V6, P269
[6] Basic problems in stability and design of switched systems
Liberzon, D
Morse, AS
[J]. IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05): : 59 - 70
[7] LIBERZON D, 1998, CVC9801 YAL U
[8] CRITERIA OF ASYMPTOTIC STABILITY OF DIFFERENTIAL AND DIFFERENCE INCLUSIONS ENCOUNTERED IN CONTROL-THEORY
MOLCHANOV, AP
PYATNITSKIY, YS
[J]. SYSTEMS & CONTROL LETTERS, 1989, 13 (01) : 59 - 64
[9] A COMMON LYAPUNOV FUNCTION FOR STABLE LTI SYSTEMS WITH COMMUTING A-MATRICES
NARENDRA, KS
BALAKRISHNAN, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (12) : 2469 - 2471
[10] RADJAVI H, 1999, SIMULTANEOUS TRIANGU

← 1 2 →