IRREDUCIBLE JORDAN FORM REALIZATION OF RATIONAL MATRIX

被引：11

作者：

PANDA, SP

CHEN, CT

机构：

[1] Department of Electrical Sciences, State University of New York, Stony Brook, N. Y.

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1969年 / AC14卷 / 01期

关键词：

D O I：

10.1109/TAC.1969.1099093

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a new method for realizing a rational transfer function matrix into an irreducible Jordan canonical form state equation. The method consists of two steps, first, to form a controllable state equation and then secondly, to obtain a controllable as well as observable realization by nonsingular transformations. If every denominator of the rational matrix is given in the factored form, then the proposed method can be carried out quite easily. © 1969 IEEE. All rights reserved.

引用

页码：66 / &

共 8 条

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CHEN CT, 1967, IEEE AUTO C, VAC12, P402

[2] STATE VARIABLES FOR LINEAR MULTIVARIABLE SYSTEMS WITH MULTIPLE EIGENVALUES [J].

CHIDAMBARA, MR .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (01) :111-+

[3]

Gantmacher F., 1959, THEORY MATRICES, VI

[4]

Gilbert E.G., 1963, SIAM REV, V1, P128, DOI 10.1137/0301009

[5]

Ho B.L., 1965, 3RD P ANN ALL C CIRC, P449

[6]

Kalman R.E., 1963, J SOC IND APPL MAT A, VA 1, P152, DOI [10.1137/0301010, DOI 10.1137/0301010]

[7] IRREDUCIBLE REALIZATIONS AND DEGREE OF A RATIONAL MATRIX [J].

KALMAN, RE .

JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1965, 13 (02) :520-&

[8]

Zadeh L, 1963, LINEAR SYSTEM THEORY

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