<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland

International Journal of Applied Mathematics and Computer Science

The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient...

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

Published Online: Jun 28, 2012

Page range: 389 - 399

DOI: https://doi.org/10.2478/v10006-012-0029-2

Keywords
determination, existence, Metzler matrix, polynomial, stability

This content is open access.

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

Published Online: Jun 28, 2012

Page range: 389 - 399

DOI: https://doi.org/10.2478/v10006-012-0029-2

Keywordsdetermination, existence, Metzler matrix, polynomial, stability

This content is open access.

Keywords
determination, existence, Metzler matrix, polynomial, stability