fossilesqueThe Post-Work Pipe Dream
PM_ME_VINTAGE_30S [he/him]Yes exactly, in an anarchist society I wouldn’t stop doing control theory, I would do even more control theory because I wouldn’t have to worry about publishing profitable results.
kayzeekayzeeI have a control theory question unrelated to this post. Can I ask you in DMs?
Hey another anarchist engineer spotted in the wild!
And hey at least control theory tends to have practical applications. I keep wanting to write basically a whole dynamics and statics textbook but where the formulas are extended to non-Euclidean spaces. Not just to like hyperbolic and parabolic geometry but to even more exotic metric spaces that aren’t locally Euclidean or necessarily continuous.
Not much use for that kind of math whatsoever, but it’s fun
What part of control theory are you focused on?
I keep wanting to write basically a whole dynamics and statics textbook but where the formulas are extended to non-Euclidean spaces.
Check out the book Mathematical Control Theory: Deterministic Finite-Dimensional Systems by Eduardo Sontag. A lot of his results take place in general metric spaces. You might also want to check out Infinite-Dimensional Systems Theory by Curtain and Zwart for an account of linear systems theory developed for separable Hilbert spaces. And for nonsmooth control, check out Nonsmooth Analysis And Control by Francis Clarke.
So you might need to blend a couple existing ideas together. Give it a shot!
Not much use for that kind of math whatsoever, but it’s fun
Immediately, I think it would have uses in quantum computing (where the state space can be an infinite-dimensional Hilbert space) and fluid dynamics (which are governed by partial differential equations, which can be represented as abstract differential equations on suitable function spaces).
What part of control theory are you focused on?
PM me for more details since I don’t wanna doxx myself, but my interest is in nonlinear dynamical systems.
I love helping and working on things. What kind of things? I dunno. Tell me what you’re doing. Now we’re doing it. I don’t even care if there’s a product or end in sight. I just like to do a something, and in the process, try to discover what this something is or what else it can do if we did it wrong.
I wouldn’t call myself a boot-licker, but I’d totally work to find out what angle and pressure is most effective for licking boots, and then try to find out if it can be applied to ice cream.
My point being that you sound like a very special person with a specialized focus and set of skills. But those who are worried about productivity would still have freaks like me. The ones who can find the bright side of a turd, and even roll it up a hill if you can let me find the mentally simulating aspects.
I love helping and working on things. What kind of things? I dunno. Tell me what you’re doing. Now we’re doing it.
Great attitude! You’re gonna have some great stories when you get older 😁.