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Paper details
Number 4 - December 2010
Volume 20 - 2010
Robust stability of positive continuous-time linear systems with delays
Mikołaj Busłowicz
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.
Keywords
positive continuous-time linear system, delays, robust stability, linear uncertainty, interval system