Late last night I published my first blog post in a series about controls and estimation. It& #39;s up at https://mzucker.github.io/2020/05/19/demystifying-discrete-time-linear-systems.html">https://mzucker.github.io/2020/05/1...

This is in reference to the poll I put out last week, BTW https://twitter.com/matt_zucker/status/1260731562406088707">https://twitter.com/matt_zuck... (note replies contains spoilers for future posts)

The post series starts out pretty introductory, but we& #39;ll end up delving into some pretty cool facets of controls and estimation theory. Outline:

1) discrete-time linear dynamical systems (this post)
2) controls & LQR
3) the affine state trick
4) Kalman filters & duality

Oh, and there& #39;s interactive simulations with live plots, too
https://abs.twimg.com/emoji/v2/... draggable="false" alt="😯" title="Hushed face" aria-label="Emoji: Hushed face">https://abs.twimg.com/emoji/v2/... draggable="false" alt="📈" title="Chart with upwards trend" aria-label="Emoji: Chart with upwards trend">https://abs.twimg.com/emoji/v2/... draggable="false" alt="📊" title="Bar chart" aria-label="Emoji: Bar chart">https://abs.twimg.com/emoji/v2/... draggable="false" alt="📉" title="Chart with downwards trend" aria-label="Emoji: Chart with downwards trend">https://abs.twimg.com/emoji/v2/... draggable="false" alt="🙀" title="Weary cat face" aria-label="Emoji: Weary cat face">

Go check it out, and reply to this thread with questions/comments! /fin