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Solvers of optimal control problems

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This pull request changes the compat entry for the `ForwardDiff` package from `0.10` to `1` for package docs. This drops the compat entries for earlier versions. Note: I have not...

This pull request changes the compat entry for the `CTBase` package from `0.15` to `0.16`. This drops the compat entries for earlier versions. Note: I have not tested your package...

hi @oameye (cc @ocots @PierreMartinon); moving your separate example here (different issue compared to https://github.com/control-toolbox/OptimalControl.jl/issues/369). The example below converges with the commented version of the cost, not with the uncommented...

bug

This pull request changes the compat entry for the `CTBase` package from `0.16` to `0.17` for package docs. This drops the compat entries for earlier versions. Note: I have not...

This pull request changes the compat entry for the `CTBase` package from `0.16` to `0.17`. This drops the compat entries for earlier versions. Note: I have not tested your package...

Add tests on max problems for all combos. New release of MadNLP is coming: https://github.com/MadNLP/MadNLP.jl/pull/519.

internal dev

allow to define problems without control, but with variables @abavoil this is for you! will allow you to use OC.jl both with direct and indirect approaches

internal dev

for direct solving, allow sth like ```julia F(x'(t), x(t), u(t)) = 0 # or an expression... ``` cc @abavoil

internal dev

adding a test extracted from CTParser on goddard (= rich enough case) for - exa + ipopt and exa + madnlp on CPU - exa + madnlp on GPU for...

@PierreMartinon There are no unit tests with ExaModels. >[!NOTE] >Maybe update the direct unit tests.

internal dev