Optimal Control Cost

MaRDI QIDQ6674096

cost functional in optimal control

Description

Minimizes the cost of the control of a system, e.g. minimize the fluence of a laser field.

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Defining Formula: $J[u]\equiv \sum _k{\alpha }_k\underset{0}{\overset{T}{\int }}dt{u}_k^2(t)$

$T$ symbol represents Control System Duration

$t$ symbol represents Time

$u$ symbol represents Control System Input

$J$ symbol represents Optimal Control Cost

$\alpha$ symbol represents Optimal Control Penalty Factor

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