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Commit 59a02786 authored by Olivier Cots's avatar Olivier Cots
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![CIMPA](doc/images/cimpa-2021.png) ![CIMPA](doc/images/cimpa-2021.png)
# Geometric and numerical methods in optimal control I # Geometric and numerical methods in optimal control II
1. Optimal control of ODE's ## Course
([video](https://pod.univ-cotedazur.fr/video/11163-geometric-and-numerical-methods-in-optimal-control-i-14))
2. Example: Goddard's problem ("fly high") * [Course](doc/course/simple_shooting_general.ipynb)
([video](https://pod.univ-cotedazur.fr/video/11164-geometric-and-numerical-methods-in-optimal-control-i-24)) * [Notes](doc/course/course.pdf)
3. Refresher on Runge-Kutta methods ## Exercices
([video](https://pod.univ-cotedazur.fr/video/11172-geometric-and-numerical-methods-in-optimal-control-i-34))
4. A "do it yourself" direct solver * [Application of the indirect simple shooting method](doc/exercices/simple_shooting_application.ipynb)
([video](https://pod.univ-cotedazur.fr/video/11173-geometric-and-numerical-methods-in-optimal-control-i-44)) * [Coding the indirect simple shooting method](doc/exercices/simple_shooting_coding.ipynb)
* [Introduction to the multiple shooting method](doc/exercices/bsb_turnpike_regularized.ipynb)
[Course notes](course/course.pdf)
[Hands on 1](https://github.com/jump-dev/JuMPTutorials.jl/blob/master/notebook/modelling/rocket_control.ipynb)
[Hands on 2](https://ct.gitlabpages.inria.fr/gallery/goddard/goddard.html)
[FAQ](https://optimalcontrol.zulip.beta.cimpa-lms.info/#narrow/stream/284-geometric_methods1) [FAQ](https://optimalcontrol.zulip.beta.cimpa-lms.info/#narrow/stream/284-geometric_methods1)
...@@ -26,15 +20,6 @@ ...@@ -26,15 +20,6 @@
[ct (control toolbox)](https://ct.gitlabpages.inria.fr/gallery) [ct (control toolbox)](https://ct.gitlabpages.inria.fr/gallery)
[Geometric and numerical methods in optimal control II](https://ct.gitlabpages.inria.fr/gallery/shooting_tutorials/simple_shooting_general) [Geometric and numerical methods in optimal control I](https://gitlab.polytech.unice.fr/CIMPA/gnmoc)
[Julia tutorial](https://syl1.gitbook.io/julia-language-a-concise-tutorial)
[JuMP](https://mlubin.github.io/pdf/jump-sirev.pdf)
Hager, W. W.; Hou, H.; Mohapatra, S.; Rao, A. V.; Wang, X.-S.
[Convergence rate for a Radau hp collocation method applied to constrained optimal control](https://doi.org/10.1007/s10589-019-00100-1).
*Computational Optimization and Applications* **74** (2019), 275-314
Hairer, E.; Lubich, C.; Wanner, G. *Geometric Numerical Integration*. Springer, 2006
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