International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2012
Volume 22 - 2012

Existence and determination of the set of Metzler matrices for given stable polynomials

Tadeusz Kaczorek

Abstract
The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.

Keywords
determination, existence, Metzler matrix, polynomial, stability

DOI
0.2478/v10006-012-0029-2