A STUDY ON NEW RIGHT/LEFT INVERSES OF NONSQUARE POLYNOMIAL MATRICES

被引：28
作者：
Hunek, Wojciech P. [1 ]
Latawiec, Krzysztof J. [1 ]
机构：
[1] Opole Univ Technol, Inst Control & Comp Engn, PL-45272 Opole, Poland
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2011年 / 21卷 / 02期
关键词：
multivariable systems; right/left inverses of polynomial matrices; Smith factorization; minimum variance control; OVERSAMPLED FILTER BANKS; GENERALIZED INVERSES; DISCRETE-TIME; SYSTEM; DECONVOLUTION; ZEROS;
D O I：
10.2478/v10006-011-0025-y
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 several new results on the inversion of full normal rank nonsquare polynomial matrices. New analytical right/left inverses of polynomial matrices are introduced, including the so-called tau-inverses, sigma-inverses and, in particular, S-inverses, the latter providing the most general tool for the design of various polynomial matrix inverses. The application-oriented problem of selecting stable inverses is also solved. Applications in inverse-model control, in particular robust minimum variance control, are exploited, and possible applications in signal transmission/recovery in various types of MIMO channels are indicated.
引用
收藏
页码：331 / 348
页数：18
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