<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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 τ-inverses, σ-inverses and, in particular, <italic>S</italic>-inverses, the latter providing the most general tool for the design of various polynomial matrix inverses. The applicationoriented 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.</p></abstract>

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 τ-inverses, σ-inverses and, in particular, S-inverses, the latter providing the most general tool for the design of various polynomial matrix inverses. The applicationoriented 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.

A study on new right/left inverses of nonsquare polynomial matrices

Institute of Control and Computer Engineering, Opole University of Technology, ul. Sosnkowskiego 31, 45-272 Opole, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"A study on new right/left inverses of nonsquare polynomial matrices"}

This paper presents several new results on the inversion of full normal rank nonsquare polynomial matrices. New analytical right/left inverses of polynomial...

A study on new right/left inverses of nonsquare polynomial matrices

Published Online: Jun 22, 2011

Page range: 331 - 348

DOI: https://doi.org/10.2478/v10006-011-0025-y

Keywords
multivariable systems, right/left inverses of polynomial matrices, Smith factorization, minimum variance control

This content is open access.

A study on new right/left inverses of nonsquare polynomial matrices

Published Online: Jun 22, 2011

Page range: 331 - 348

DOI: https://doi.org/10.2478/v10006-011-0025-y

Keywordsmultivariable systems, right/left inverses of polynomial matrices, Smith factorization, minimum variance control

This content is open access.

Keywords
multivariable systems, right/left inverses of polynomial matrices, Smith factorization, minimum variance control