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

preprint2020arXivOpen access

Abstract

We give sufficient conditions for Input-to-State Stability in C1C^{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 2×22\times 2 systems.

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