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Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances (2004.12026v1)
Published 25 Apr 2020 in math.AP and math.OC
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.