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Optimal Control Problem for a Nonlinear Schrödinger equation

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Optimal Control Problem for a Nonlinear Schrödinger equation
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Optimal Control of 1D Non linear Schrödinger equation
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13
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
This talk is concerned with the optimal control of a 1D cubic nonlinear Schrödinger 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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