Solutions to LTI Systems Notebook

Notebook Content

This notebook has examples of how to compute the matrix exponential and Jordan form.

It also implements Forward Euler and explores simulation through a pendulum example.

θ˙=ϕϕ˙=−gℓsin⁡(θ) \begin{aligned} \dot{\theta}&=\phi\\ \dot{\phi}&=-\frac{g}{\ell}\sin(\theta) \end{aligned}

Info

You will need to make sure you append to your path the directory where you have the notebooks and utils folder so that you can use the utils functions in ‘_547utils.py’. You may also want to install seaborn for nice plotting style.