A NEW METHOD FOR COMPUTING A COLUMN REDUCED POLYNOMIAL MATRIX

被引:12
作者
BEELEN, TGJ
VANDENHURK, GJ
PRAAGMAN, C
机构
[1] PHILIPS MAIN SUPPLY GRP GLASS,5600 MD EINDHOVEN,NETHERLANDS
[2] EINDHOVEN UNIV TECHNOL,DEPT MATH & COMP SCI,5600 MB EINDHOVEN,NETHERLANDS
关键词
COMPUTER PROGRAMMING - Algorithms;
D O I
10.1016/0167-6911(88)90010-2
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new algorithm is presented for computing a column reduced form of a given full column rank polynomial matrix. The method is based on reformulating the problem as a problem of constructing a minimal polynomial basis for the right nullspace of a polynomial matrix closely related to the original one. The latter problem can easily be solved in a numerically reliable way. Three examples illustrating the method are included.
引用
收藏
页码:217 / 224
页数:8
相关论文
共 6 条
[1]  
Beelen T., 1987, THESIS EINDHOVEN U T
[2]   NUMERICAL COMPUTATION OF A COPRIME FACTORIZATION OF A TRANSFER-FUNCTION MATRIX [J].
BEELEN, TGJ ;
VELTKAMP, GW .
SYSTEMS & CONTROL LETTERS, 1987, 9 (04) :281-288
[3]  
FORNEY GD, 1975, SIAM J CONTROL, V13, P493, DOI 10.1137/0313029
[4]  
Kailath, 1980, LINEAR SYSTEMS
[5]   THE GENERALIZED EIGENSTRUCTURE PROBLEM IN LINEAR-SYSTEM THEORY [J].
VANDOOREN, PM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (01) :111-129
[6]  
WOLOVICH WA, 1974, LINEAR MULTIVARIABLE