"To compute this linearization in python-control, we start by computing the equilibrium point. We do this using the `find_eqpt` function, which can be used to find equilibrium points satisfying varioius conditions. For this system, we wish to find the state $x_\\text{e}$ and input $u_\\text{e}$ that holds the $x, y$ position of the aircraft at the point $(0, 0)$. The `find_eqpt` function performs a numerical optimization to find the values of $x_\\text{e}$ and $u_\\text{e}$ corresponding to an equilibrium point with the desired values for the outputs. We pass the function initial guesses for the state and input as well the values of the output and the indices of the output that we wish to constrain:"

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