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arXiv · 2004.12026

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

Georges Bastin·Jean-Michel Coron·Amaury Hayat
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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 $2\times 2$ systems.

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Georges Bastin, Jean-Michel Coron, Amaury Hayat. 2020-04-25. Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances. https://arxiv.org/abs/2004.12026

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