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math.OC2018
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback
Christophe Zhang
We use the backstepping method to study the stabilization of a 1-D linear transport equation on the interval (0, L), by controlling the scalar amplitude of a piecewise regular func…
math.OC2017
Internal control of systems of semilinear coupled 1-D wave equations
Christophe Zhang
We prove the internal controllability of some systems of two coupled wave equations in one space dimension, with one control, under certain conditions on the coupling. To do this w…