The Generalized Matrix Sector Function and the Separation of Matrix Eigenvalues

被引：1

作者：

Shieh, Leang S. ^{[1
]}

Tsai, Jason S. H. ^{[1
]}

Yates, Robert E. ^{[2
]}

机构：

[1] Univ Houston, Dept Elect Engn, Houston, TX 77004 USA

[2] USA, Guidance & Control Directorate, Missile Command, Redstone, AL 35809 USA

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 1985年 / 2卷 / 03期

关键词：

D O I：

10.1093/imamci/2.3.251

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The matrix sector function of A is introduced and generalized to the matrix sector function of g(A), where the complex matrix A may have a real or complex characteristics polynomial and g(A) is a matrix function of a conformal mapping. The generalized matrix sector function of A is employed to separate the matrix eigenvalues relative to a sector, a circle, and a sector of a circle in the complex plane without actually seeking the characteristics polynomial and the matrix eigenvalues themselves. Also, the generalized matrix sector function of A is utilized to carry out the block-diagonalization and block-triangularization of a system matrix, which are useful in developing applications to mathematical science and control-system problems.

引用

页码：251 / 258

页数：8

共 11 条

[1] RELATIVE STABILITY TEST FOR CONTINUOUS AND SAMPLED-DATA CONTROL-SYSTEMS USING THE GENERALIZED SIGN MATRIX [J].

ATTARZADEH, F .

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1982, 129 (05) :189-192

[2]

Barnett, 1984, MATRICES CONTROL THE

[3]

Barnett S., 1983, POLYNOMIALS LINEAR C

[4]

Denman E. D., 1976, APPL MATH COMPUT, V2, P63, DOI DOI 10.1016/0096-3003(76)90020-5

[5] THE SIGN MATRIX AND THE SEPARATION OF MATRIX EIGENVALUES [J].

HOWLAND, JL .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 49 (FEB) :221-232

[6] STABILITY ANALYSIS VIA EXTENDED MATRIX SIGN FUNCTION [J].

MATTHEYS, RL .

PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1978, 125 (03) :241-243

[7] LINEAR-MODEL REDUCTION AND SOLUTION OF THE ALGEBRAIC RICCATI EQUATION BY USE OF THE SIGN FUNCTION [J].

ROBERTS, JD .

INTERNATIONAL JOURNAL OF CONTROL, 1980, 32 (04) :677-687

[8]

SHIEH L. S., 1983, SEPARATION MATRIX EI

[9] SOME PROPERTIES OF MATRIX SIGN FUNCTIONS DERIVED FROM CONTINUED FRACTIONS [J].

SHIEH, LS ;

TSAY, YT ;

YATES, RE .

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1983, 130 (03) :111-118

[10] MATRIX SECTOR FUNCTIONS AND THEIR APPLICATIONS TO SYSTEMS-THEORY [J].

SHIEH, LS ;

TSAY, YT ;

WANG, CT .

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1984, 131 (05) :171-181

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