On Homotopy and Similarity in Linear Systems Theory

被引：2

作者：

Lomadze, Vakhtang ^{[1
]}

机构：

[1] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia

来源：

ACTA APPLICANDAE MATHEMATICAE | 2011年 / 116卷 / 01期

关键词：

(DA)-set; Linear behavior; Linear system; ARMA-model; Homotopy; Similarity; HOMOMORPHISMS; MODELS;

D O I：

10.1007/s10440-011-9631-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note the question of system equivalence for linear dynamical systems is studied in full generality (and in the algebraic style).

引用

页码：87 / 105

页数：19

共 23 条

[1]

[Anonymous], 2002, ALGEBRA

[2] STRICT SYSTEM EQUIVALENCE AND SIMILARITY [J].

FUHRMANN, PA .

INTERNATIONAL JOURNAL OF CONTROL, 1977, 25 (01) :5-10

[3] A study of behaviors [J].

Fuhrmann, PA .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 351 (351-352) :303-380

[4] On behavior homomorphisms and system equivalence [J].

Fuhrmann, PA .

SYSTEMS & CONTROL LETTERS, 2001, 44 (02) :127-134

[5]

Gelfand S., 2003, Springer Monographs in Mathematics, Vsecond

[6] Rosenbrock models and their homotopy equivalence [J].

Lomadze, V .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 351 :519-532

[7]

Lomadze V., SIAM J CONTROL UNPUB

[8] ARMA-models and their equivalences [J].

Lomadze, Vakhtang .

INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (11) :2034-2039

[9] MULTIDIMENSIONAL CONSTANT LINEAR-SYSTEMS [J].

OBERST, U .

ACTA APPLICANDAE MATHEMATICAE, 1990, 20 (1-2) :1-175

[10] VARIATIONS ON THE FUNDAMENTAL PRINCIPLE FOR LINEAR-SYSTEMS OF PARTIAL-DIFFERENTIAL AND DIFFERENCE-EQUATIONS WITH CONSTANT-COEFFICIENTS [J].

OBERST, U .

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 1995, 6 (4-5) :211-243

← 1 2 3 →