Geodesic
Robust stability of positive continuous-time linear systems with delays
International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 4, pp. 665-670.

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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.
Keywords: positive continuous-time linear system, delay, robust stability, linear uncertainty, interval system
Mots-clés : czas ciągły, system liniowy, opóźnienie, stabilność odporna, niepewność liniowa 
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Busłowicz, M. Robust stability of positive continuous-time linear systems with delays. International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 4, pp. 665-670. http://geodesic.mathdoc.fr/item/IJAMCS_2010_20_4_a3/

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