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Research Article Open access CC BY 4.0

Action of a Polynomial Matrix on a Vector of Power Series

Ramamonjy Andriamifidisoa

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 9 May 2016

10.9734/BJMCS/2016/25791

Abstract

The adjoint of the right multiplication of a row vector by a fixed polynomial matrix gives a left operation of the polynomial matrix on column vectors of power series. This explain the polynomial matrix and vector of powers series “multiplication”, used to define discrete linear dynamical systems, according to Willems and Oberst theory.

Discrete linear dynamical system behavior polynomial operator in the shift categories and functors adjoint of a linear mapping polynomial matrix.

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