Robust stability analysis of uncertain linear positive systems via integral linear constraints: L1- and L∞-gain characterizations

@article{Briat2011RobustSA,
  title={Robust stability analysis of uncertain linear positive systems via integral linear constraints: L1- and L∞-gain characterizations},
  author={Corentin Briat},
  journal={IEEE Conference on Decision and Control and European Control Conference},
  year={2011},
  pages={6337-6342}
}
Copositive Lyapunov functions are used along with dissipativity theory for stability analysis of uncertain linear positive systems. At the difference of standard results, linear supply-rates are employed for robustness and performance analysis and lead to L1- and L∞-gain characterizations. This naturally guides to the definition of Integral Linear Constraints (ILCs) for the characterization of input-output nonnegative uncertainties. It turns out that these integral linear constraints can be… CONTINUE READING
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