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

Wojciech P. HunekKrzysztof J. Latawiec — 2011

International Journal of Applied Mathematics and Computer Science

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...

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