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Do you have any good references to start learning about control theory? I'm after something for someone who already knows all the relevant mathematics but is unfamiliar with the applications.

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There are be plenty of university level textbooks on control theory. For how to apply control theory to software problems there seems to be much less material though. Glyn Normington recommended the following book in another comment thread:

    Feedback Control for Computer Systems
    Philipp K. Janert
    330 pages
    O’Reilly (2013)
    ISBN: 978-1449361693

You'll find a little here and there within comp. sci. but the authors are usually not aware that they are doing control theory.

Typical things: scheduling algorithms for 1) processes, 2) disk reads/writes/seeks, TCP/IP stuff (slow start, throttling, window sizing).

For control theory viewed as part of engineering: "Control System Design" by Goodwin, Graebe, and Salgado.

There are many others but that was the one that worked best for me.

Start with this guy and then go as deep as you want with various textbooks.

https://youtube.com/@ControlLectures

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