STATE-SPACE THEORY OF AUTOMORPHISMS OF RATIONAL MATRIX FUNCTIONS

被引：7

作者：

ALPAY, D

BALL, JA

GOHBERG, I

RODMAN, L

机构：

[1] BEN GURION UNIV NEGEV,DEPT MATH,IL-84105 BEER SHEVA,ISRAEL

[2] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061

[3] TEL AVIV UNIV,RAYMOND & BEVERLY SACKLER FAC EXACT SCI,SCH MATH SCI,IL-69989 RAMAT AVIV,ISRAEL

[4] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1992年 / 15卷 / 03期

关键词：

D O I：

10.1007/BF01200324

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The state space theory from linear control theory is used as a tool to describe the action of automorphisms of a certain form acting on rational matrix functions. This class consists of automorphisms representable as the composition of a linear fractional change of variable together with the operations of inverse-transpose, conjugation and an inner automorphism. We also describe in state space terms minimal factorizations within the class of functions of a certain associated group.

引用

页码：349 / 377

页数：29

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