A BRIEF SUMMARY OF THE BOUNDS ON THE SOLUTION OF THE ALGEBRAIC MATRIX EQUATIONS IN CONTROL-THEORY

被引：103

作者：

MORI, T ^{[1
]}

DERESE, IA ^{[1
]}

机构：

[1] UNIV GHENT,AUTOMAT CONTROL LAB,B-9710 GENT,BELGIUM

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1984年 / 39卷 / 02期

关键词：

D O I：

10.1080/00207178408933163

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper collects the bounds that have been presented up to now and summarizes them in a unified form. This will prove particularly convenient for those wishing to get a ready estimate of the solution while solving the equations numerically or to develop theoretical results that rely on these bounds.

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页码：247 / 256

页数：10

相关论文

共 23 条

[1] A LOWER BOUND FOR THE SOLUTION OF THE ALGEBRAIC RICCATI EQUATION OF OPTIMAL-CONTROL AND A GEOMETRIC-CONVERGENCE RATE FOR THE KLEINMAN ALGORITHM [J].

ALLWRIGHT, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (04) :826-829

[2] ON THE LYAPUNOV MATRIX EQUATION [J].

BIALAS, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (04) :813-814

[3] A LOWER BOUND ON PERFORMANCE OF OPTIMAL REGULATORS [J].

CANALES, R .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1970, AC15 (04) :409-+

[4]

GEROMEL JC, 1979, IEEE T AUTOMAT CONTR, V24, P482, DOI 10.1109/TAC.1979.1102053

[5] EIGENVALUE BOUNDS FOR ALGEBRAIC RICCATI AND LYAPUNOV EQUATIONS [J].

KARANAM, VR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (02) :461-463

[6] A NOTE ON EIGENVALUE BOUNDS IN ALGEBRAIC RICCATI EQUATION [J].

KARANAM, VR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (01) :109-111

[7] LOWER BOUNDS ON THE SOLUTION OF LYAPUNOV MATRIX AND ALGEBRAIC RICCATI-EQUATIONS [J].

KARANAM, VR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (06) :1288-1290

[8] NOTE ON ALGEBRAIC MATRIX RICCATI EQUATION [J].

KWON, WH ;

PEARSON, AE .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (01) :143-144

[9] NEW LOWER BOUND ON THE COST OF OPTIMAL REGULATORS [J].

LANGHOLZ, G .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (02) :353-354

[10] LYAPUNOV MATRIX EQUATION [J].

MONTEMAYOR, JJ ;

WOMACK, BF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1975, 20 (06) :814-815