TODA FLOWS, INVERSE SPECTRAL TRANSFORM AND REALIZATION-THEORY

被引：13

作者：

BROCKETT, RW ^{[1
]}

FAYBUSOVICH, LE ^{[1
]}

机构：

[1] HARVARD UNIV,DIV APPL SCI,CAMBRIDGE,MA 02138

来源：

SYSTEMS & CONTROL LETTERS | 1991年 / 16卷 / 02期

关键词：

FLOWS ON RATIONAL FUNCTIONS; TODA-LIKE COMPLETELY INTEGRABLE SYSTEMS; REALIZATION THEORY;

D O I：

10.1016/0167-6911(91)90001-U

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 establish some new relationships between the solution techniques for completely integrable nonlinear differential equations of the Toda type and topics in realization theory.

引用

页码：79 / 88

页数：10

共 13 条

[1]

Atiyah M.F., 1988, GEOMETRY DYNAMICS MA, DOI DOI 10.1515/9781400859306

[2] A NEW FORMULATION OF THE GENERALIZED TODA LATTICE EQUATIONS AND THEIR FIXED-POINT ANALYSIS VIA THE MOMENTUM MAP [J].

BLOCH, AM ;

BROCKETT, RW ;

RATIU, TS .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 23 (02) :477-485

[3] SOME GEOMETRIC QUESTIONS IN THEORY OF LINEAR-SYSTEMS [J].

BROCKETT, RW .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) :449-455

[4] A SCALING THEORY FOR LINEAR-SYSTEMS [J].

BROCKETT, RW ;

KRISHNAPRASAD, PS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (02) :197-207

[5]

Byrnes CI., 1981, NEW DIRECTIONS APPL, P29

[6] NAHM EQUATIONS AND THE CLASSIFICATION OF MONOPOLES [J].

DONALDSON, SK .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 96 (03) :387-407

[7]

ELSNER L, 1988, LINEAR ALGEBRA APPL, V110, P213

[8]

FAYBUSOVICH L, 1989, LINEAR ALGEBRA APPL, V122, P943

[9] ON THE PARTIAL-REALIZATION PROBLEM [J].

GRAGG, WB ;

LINDQUIST, A .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 50 (APR) :277-319

[10] A CELL DECOMPOSITION OF THE SPACE OF REAL HANKEL-MATRICES OF RANK LESS-THAN-OR-EQUAL-TO N AND SOME APPLICATIONS [J].

HELMKE, U ;

HINRICHSEN, D ;

MANTHEY, W .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 122 :331-355

← 1 2 →