Existence and determination of the set of Metzler matrices for given stable polynomials
| 28 jun 2012
International Journal of Applied Mathematics and Computer Science
Analysis and Control of Spatiotemporal Dynamic Systems (special section, pp. 245 - 326), Dariusz Uciński and Józef Korbicz (Eds.)
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Publicado en línea: 28 jun 2012
Páginas: 389 - 399
DOI: https://doi.org/10.2478/v10006-012-0029-2
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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.