General Mathematics

    

Coprime Factorization of Singular Linear Systems. a Stein Matritial Equation Approach

Authors: M. I. Garc´ıa-Planas, M.M. López-Cabeceira

In this work immersed in the field of control theory on a Given a singular linear dynamic time invariant represented by Ex+(t) = Ax(t)Bu(t), y(t) = Cx(t). We want to classify singular systems such that by means a feedback and an output injection, the transfer ma- trix of the system is a polynomial, for that we analyze conditions for obtention of a coprime factorization of transfer matrices of singular lin- ear systems defined over commutative rings R with element unit. The problem presented is related to the existence of solutions of a Stein matritial equation XE − NXA = Z.

Comments: 16 Pages.

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Submission history

[v1] 2014-05-08 01:32:26

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