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Merge pull request #73 from control-toolbox/update-symbolics
add link to tutorial-symbolics on main page
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docs/src/index.md

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| **[Linear–quadratic regulator](@ref tutorial-lqr)** | A simple LQR example illustrating how to solve a linear-quadratic OCP. |
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| **[Minimal action](@ref tutorial-mam)** | Applies the Minimal Action Method (MAM) to find the most probable transition pathway between stable states in a stochastic system. |
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| **[Model Predictive Control](@ref tutorial-mpc)** | Implements MPC for ship navigation in a sea current, with a real-time replanning loop. |
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| **[Symbolic dynamics derivation](@ref tutorial-symbolics)** | Derives the equation of motion for the cart-pole symbolically and determines a periodic orbit. |
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## Reproducibility
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docs/src/tutorial-symbolics.md

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# Cart-Pole Periodic Orbit via Symbolic Lagrangian Mechanics
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# [Cart-Pole Periodic Orbit via Symbolic Lagrangian Mechanics](@id tutorial-symbolics)
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This tutorial demonstrates how to combine **symbolic derivation of equations of motion** (via
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[`Symbolics.jl`](https://symbolics.juliasymbolics.org/)) with **direct optimal control**

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