Robust stability of positive continuous-time linear systems with delays release_yw24odypsjb5zkrqfrsvf6ydwq

by Mikołaj Busłowicz

Published in International Journal of Applied Mathematics and Computer Science by Walter de Gruyter GmbH.

2010   Volume 20, p665-670

Abstract

<jats:title>Robust stability of positive continuous-time linear systems with delays</jats:title> The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.
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