ON STABILITY OF A LINEAR TIME-VARYING SYSTEM

被引：0
作者：
VENKATESH, YV
机构：
[1] Dept. of Elec. Engrg., Indian lnst. of Science
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1969年 / AC14卷 / 04期
关键词：
D O I：
10.1109/TAC.1969.1099207
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 single-loop linear system with a time-invariant stable block G in the direct path and a time-varying gain in the feedback path is analyzed for asymptotic stability in the Popov framework by way of admitting noncausal “multipliers” in the stability criterion. It is shown that an autocorrelation bound, analogous to O ‘Shea’s cross-correlation bounds [1], results in a constraint on dk/dt more restrictive than that of Gruber and Willems [2]. Copyright © 1969 by The Institute of Electrical and Electronics Engineers, Inc.
引用
收藏
页码：426 / +
页数：1
相关论文
共 50 条
[31]   STABILITY OF LINEAR TIME-VARYING SYSTEMS - COMMENTS [J].
KHADR, A .
INTERNATIONAL JOURNAL OF CONTROL, 1979, 30 (05) :895-897
[32]   STRUCTURAL STABILITY OF LINEAR TIME-VARYING SYSTEMS [J].
ANDERSON, BD ;
MOORE, JB .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1968, AC13 (01) :126-&
[33]   STABILITY OF MULTIDIMENSIONAL LINEAR TIME-VARYING SYSTEMS [J].
SHRIVASTAVA, SK ;
PRADEEP, S .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1985, 8 (05) :579-583
[34]   STABILITY BEHAVIOR OF LINEAR TIME-VARYING SYSTEMS [J].
CHIOU, KL .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1994, 17 (04) :857-859
[35]   On asymptotic stability of linear time-varying systems [J].
Zhou, Bin .
AUTOMATICA, 2016, 68 :266-276
[36]   ON LINEAR TIME-VARYING SYSTEM CHARACTERIZATIONS [J].
Erfani, Shervin ;
Bayan, Nima .
2009 IEEE INTERNATIONAL CONFERENCE ON ELECTRO/INFORMATION TECHNOLOGY, 2009, :205-208
[37]   STABILITY OF A NONLINEAR TIME-VARYING SYSTEM [J].
DAVISON, EJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (05) :627-&
[38]   Stability for time-varying singular system [J].
Su, X. ;
Zhang, Q. .
Dongbei Daxue Xuebao/Journal of Northeastern University, 2001, 22 (05) :572-575
[39]   An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales [J].
Mukdasai, Kanit ;
Niamsup, Piyapong .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[40]   Finite-time stability of linear time-varying continuous system with time-delay [J].
Liu Hao ;
Zhou Guopeng ;
Lei Tao ;
Tian Fengxia .
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, :6063-6068
12345