Minimal partial realization by descriptor systems

被引：13

作者：

Hinrichsen, D ^{[1
]}

Manthey, W

Helmke, U

机构：

[1] Univ Bremen, Inst Dynam Syst, D-28334 Bremen, Germany

[2] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 326卷 / 1-3期

关键词：

realization theory; minimal partial realizations; descriptor systems; block Hankel matrices; Weierstrass form;

D O I：

10.1016/S0024-3795(00)00303-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a generalization of Kalman's partial realization theory is developed using partial realizations defined by descriptor systems. The use of singular system realizations in contrast to regular linear systems enables us to circumvent certain technical difficulties inherent in the standard approach to partial realizations. An existence and uniqueness result for minimal partial descriptor realizations is proven and a simple rank formula for the McMillan degree is derived. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：45 / 84

页数：40

共 31 条

[1]

AMMAR G, 1990, TECH TECH U MATH SER, V16, P1

[2] CONTINUED-FRACTION DECOMPOSITION OF LINEAR-SYSTEMS IN THE STATE-SPACE [J].

ANTOULAS, AC ;

BISHOP, RH .

SYSTEMS & CONTROL LETTERS, 1987, 9 (01) :43-53

[3] ON PARAMETRIZATIONS FOR THE MINIMAL PARTIAL-REALIZATION PROBLEM [J].

BOSGRA, OH .

SYSTEMS & CONTROL LETTERS, 1983, 3 (04) :181-187

[4]

Brockett R.W., 1978, P 17 IEEE C DEC CONT, P1048

[5]

CASTI JL, 1977, DYNAMICAL SYSTEMS TH, V135

[6]

Clark J. M. C., 1976, P JOINT AUT CONTR C, P576

[7] CONTROLLABILITY, OBSERVABILITY, AND DUALITY IN SINGULAR SYSTEMS [J].

COBB, D .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (12) :1076-1082

[8] TOPOLOGICAL ASPECTS OF CONTROLLABILITY AND OBSERVABILITY ON THE MANIFOLD OF SINGULAR AND REGULAR SYSTEMS [J].

COBB, JD .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 138 (01) :21-42

[9]

Dai L., 1989, LECT NOTES CONTROL I, V118

[10] A MATRIX EUCLIDEAN ALGORITHM AND MATRIX CONTINUED-FRACTION EXPANSIONS [J].

FUHRMANN, PA .

SYSTEMS & CONTROL LETTERS, 1983, 3 (05) :263-271

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