An alternative system of structural invariants of quadruples of matrices

被引：10

作者：

García-Planas, MI ^{[1
]}

Magret, MD ^{[1
]}

机构：

[1] Univ Politecn Catalunya, Dept Matemat Aplicada 1, Barcelona 08028, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 291卷 / 1-3期

关键词：

linear dynamical systems; equivalence relation; structural invariants; complete system of invariants; canonical reduced form;

D O I：

10.1016/S0024-3795(98)10227-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The equivalence relation between time-invariant linear dynamical systems deduced from the action of the group consisting of all basis changes, state feedback and output injection transformations is considered. An alternative complete system of structural invariants is presented. Discrete invariants in this system are the ranks of suitable matrices, generalizing the numerical invariants obtained for pairs of matrices under block-similarity. The continuous invariants are characterized in terms of the rank of a matrix. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：83 / 102

页数：20

共 8 条

[1] POINTS OF CONTINUITY OF THE KRONECKER CANONICAL FORM [J].

DEHOYOS, I .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (02) :278-300

[2]

Gantmacher F.R., 1977, The Theory of Matrices

[3]

Karkanias N., 1988, INT J CONTROL, V47, P937

[4]

Karkanias N., 1986, INT J CONTROL, V44, P991

[5] STRUCTURAL INVARIANTS OF LINEAR MULTIVARIABLE SYSTEMS [J].

MORSE, AS .

SIAM JOURNAL ON CONTROL, 1973, 11 (03) :446-465

[6] SINGULAR PENCIL OF A LINEAR DYNAMICAL SYSTEM [J].

THORP, JS .

INTERNATIONAL JOURNAL OF CONTROL, 1973, 18 (03) :577-596

[7] COMPUTATION OF KRONECKERS CANONICAL FORM OF A SINGULAR PENCIL [J].

VANDOOREN, P .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 27 (OCT) :103-140

[8] DETERMINATION OF THE SMITH-MACMILLAN FORM OF A RATIONAL MATRIX FROM ITS LAURENT EXPANSION [J].

VANDOOREN, PM ;

DEWILDE, P ;

VANDEWALLE, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1979, 26 (03) :180-189

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