Robust stability of positive continuous-time linear systems with delays

Mikołaj Busłowicz

doi:10.2478/v10006-010-0049-8

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Robust stability of positive continuous-time linear systems with delays

International Journal of Applied Mathematics and Computer Science

Volume 20 (2010): Issue 4 (December 2010)

By: Mikołaj Busłowicz

Open Access

|Dec 2010

Abstract

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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