3blue1brownQuantifying the effect of disturbances on dynamical systems
Audience:
In this entry, we are looking at how additive disturbances can affect the state of linear dynamical systems. We formalize this as finding the sets in which the states can lie in at each time step. Along the way to determine these sets, we are going to learn about Minkowski sums, the concept of stability for linear systems, and positively invariant sets.
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Comments
Very technically sound, however I feel like there could be a more gradual transition towards the harder parts. There could have been a specific problem for the reader to keep in mind at the beginning that would pay off at the end.
Your writing is very clear and easy to follow. I learned something new! The post was a little dry and I think it lacked a good motivating example. You talk about how this theory can help make a decision under uncertainty, but you never provide an example of what such a decision could be.
Super minor: A couple of your plots have y-axes when I don’t think they should like when you’re illustrating Minkowski sums.