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Fix description of bounds on initial conditions for Optimization unde…
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…r Uncertainty showcase.
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Zinoex committed Nov 21, 2024
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## Optimization Under Uncertainty

We now wish to optimize the initial position ($x_0,y_0$) and horizontal velocity ($\dot{x}_0$) of the system to minimize the expected squared miss distance from the star, where $x_0\in\left[-100,0\right]$, $y_0\in\left[1,3\right]$, and $\dot{x}_0\in\left[10,50\right]$. We will demonstrate this using a gradient-based optimization approach from NLopt.jl using `ForwardDiff.jl` AD through the expectation calculation.
We now wish to optimize the initial position ($x_0,y_0$) and horizontal velocity ($\dot{x}_0$) of the system to minimize the expected squared miss distance from the star, where $x_0\in\left[-100,0\right]$, $\dot{x}_0\in\left[1,3\right]$, and $y_0\in\left[10,50\right]$. We will demonstrate this using a gradient-based optimization approach from NLopt.jl using `ForwardDiff.jl` AD through the expectation calculation.

```@example control
using Optimization, OptimizationNLopt, OptimizationMOI
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