LIAPUNOV FUNCTION GENERATION FOR A CLASS OF TIME-VARYING SYSTEMS

被引：2

作者：

ANDERSON, BD

MOORE, JB

机构：

[1] Dept. of Elec. Engrg., University of Newcastle, New South Wales

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1968年 / AC13卷 / 02期

关键词：

D O I：

10.1109/TAC.1968.1098865

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Finite dimensional systems with time-varying feedback, which satisfy the conditions of the circle criterion for stability, are considered. A recent result giving a system theory description of positive real matrices is used to generate Liapunov functions. Copyright © 1968 by The Institute of Electrical and Electronics Engineers, Inc.

引用

页码：205 / &

共 5 条

[1]

ANDERSON BDO, 1967, J SIAM CONTROL, V5, P171

[2]

BONGIORNO JJ, 1963, IEEEPTGAC, VAC8, P166

[3] FREQUENCY-DOMAIN INSTABILITY CRITERIA FOR TIME-VARYING AND NONLINEAR SYSTEMS [J].

BROCKETT, RW ;

LEE, HB .

PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1967, 55 (05) :604-+

[4]

NARENDRA KS, 1964, IEEE T CIRCUIT THEOR, VCT11, P406

[5] FREQUENCY-DOMAIN CONDITION FOR STABILITY OF FEEDBACK SYSTEMS CONTAINING SINGLE TIME-VARYING NONLINEAR ELEMENT [J].

SANDBERG, IW .

BELL SYSTEM TECHNICAL JOURNAL, 1964, 43 (4P2) :1601-+

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