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Norway and DrillWell -Drilling and well centre for improved recovery Stavanger, Norway We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to the classical trade-off between convergence rate and delay-robustness. More precisely, we prove that, for systems with strong reflections, canceling the reflection at the actuated boundary will yield zero delayrobustness. Indeed,doi:10.1109/tac.2018.2798818 fatcat:jqrxwvcq6vfrrekqtgdgoyv6ky