Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances

Bastin, Georges;Coron, Jean-Michel;Hayat, Amaury
(2021) Nonlinear Analysis — Vol. 208, p. Paper 112300 (2021)

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Authors
  • Bastin, Georgesorcid-logoUCLouvain
    Author
  • Coron, Jean-MichelSorbonne Université, CNRS, Paris, France.
    Author
  • Hayat, AmauryCAGE, INRIA, Paris, France
    Author
Abstract
We give sufficient conditions for Input-to-State Stability in C 1 norm of general quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation of explicit Input-to-State Stability conditions is discussed for the special case of 2 × 2 systems.
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Citations

Bastin, G., Coron, J.-M., & Hayat, A. (2021). Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances. Nonlinear Analysis, 208, Paper 112300. https://doi.org/10.1016/j.na.2021.112300 (Original work published 2021)