Tikhonov theorem for linear hyperbolic systems

@article{Tang2015TikhonovTF,
  title={Tikhonov theorem for linear hyperbolic systems},
  author={Ying Tang and Christophe Prieur and Antoine Girard},
  journal={Automatica},
  year={2015},
  volume={57},
  pages={1-10}
}
Systems modelled by linear singularly perturbed partial differential equations are considered in this paper. Precisely, a class of linear systems of conservation laws with a small perturbation parameter is introduced. By setting the perturbation parameter to zero, two subsystems, the reduced system standing for the slow dynamics and the boundary-layer system representing the fast dynamics, are computed. It is first proved that the exponential stability of the full system implies the stability… CONTINUE READING
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