Robust stability of positive continuous-time linear systems with delays

@article{Buslowicz2010RobustSO,
  title={Robust stability of positive continuous-time linear systems with delays},
  author={Mikolaj Buslowicz},
  journal={Applied Mathematics and Computer Science},
  year={2010},
  volume={20},
  pages={665-670}
}
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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