BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Optimal Control of 1D Non linear Schrödinger equation Sánchez de la Vega, Constanza


This talk is concerned with the optimal control of a 1D cubic nonlinear Schr\"odinger equation that describes the propagation of optical pulses. We consider the noise on an optical transmission systems as a control variable and study the existence of a minimum norm control such that the pulse is degraded at the end of the transmission (integral restriction on the state). We also give first order necessary conditions for an optimal solution.

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