TABLEAU METHODS FOR ANALYSIS AND DESIGN OF LINEAR-SYSTEMS

被引：7

作者：

APLEVICH, JD ^{[1
]}

机构：

[1] UNIV WATERLOO,DEPT ELECT ENGN,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

AUTOMATICA | 1979年 / 15卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Control system synthesis; linear systems; polynomial equations; spectral factorization; stochastic control;

D O I：

10.1016/0005-1098(79)90016-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Certain classes of elementary operations on the system matrix of a linear system are defined, and then their use is illustrated for the calculation of canonical forms, the largest (A,B)-invariant and controllability subspaces in ker(C), transmission zeros, and minimal inverses. Questions of numerical accuracy are discussed. The results are directly codable as efficient numerical algorithms, and may be extended to the use of orthogonal transformations. © 1979.

引用

页码：419 / 429

页数：11

共 30 条

[1]

[Anonymous], 1965, The algebraic eigenvalue problem

[2] DIRECT COMPUTATION OF CANONICAL FORMS FOR LINEAR-SYSTEMS BY ELEMENTARY MATRIX OPERATIONS [J].

APLEVICH, JD .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (02) :124-126

[3]

APLEVICH JD, 1974, IEEE ELECTR LETT, V10, P222

[4]

APLEVICH JD, 1978, IFAC WORLD C HELSINK, V3, P1671

[5] FURTHER DISCUSSION ON CALCULATION OF TRANSMISSION ZEROS [J].

AXELBY, GS ;

LAUB, AJ ;

DAVISON, EJ .

AUTOMATICA, 1978, 14 (04) :403-405

[6]

BENGTSSON G, 1973, 7341 LUND I TECHN DI

[7] REMARK ON MULTIPLE TRANSMISSION ZEROS OF A SYSTEM [J].

DAVISON, EJ ;

WANG, SH .

AUTOMATICA, 1976, 12 (02) :195-195

[8] PROPERTIES AND CALCULATION OF TRANSMISSION ZEROS OF LINEAR-MULTIVARIABLE SYSTEMS [J].

DAVISON, EJ ;

WANG, SH .

AUTOMATICA, 1974, 10 (06) :643-658

[9] ROLE OF TRANSMISSION ZEROS IN LINEAR-MULTIVARIABLE REGULATORS [J].

FRANCIS, BA ;

WONHAM, WM .

INTERNATIONAL JOURNAL OF CONTROL, 1975, 22 (05) :657-681

[10]

GARBOW, 1977, EISPACK GUIDE EXTENS

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