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Robust stability of positive continuous-time linear systems with delays
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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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