A study on new right/left inverses of nonsquare polynomial matrices
Wojciech Przemyslaw Hunek, Krzysztof J. Latawiec · International Journal of Applied Mathematics and Computer Science · 2011
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 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.