Surprise this was one of the most difficult concepts for me to get intuitively as a graduate student even when i could solve it, thank you so much steve, you’re a rockstar.
When hammer the system, and if the A matrix is rotational, then e^Ax turns out rotation. Hence system may go constant oscillation. The point is, if you can find a values for A that is rotational then you would be able to get infinite oscillations on that system. Every system may have this sweat spot. One can found with carefully analyze and tweak the impulse response and play with A matrix
Very well explained. Well Done!
Surprise this was one of the most difficult concepts for me to get intuitively as a graduate student even when i could solve it, thank you so much steve, you’re a rockstar.
Thanks for the lecture. It's one of the clearest explanation on convolution I've learned.
me too, dr Brunton's lecture is GREAT!!!!
Thank you, Steve! This was great lecture.
intuition > Rigor. Thank you so so so much
Great great presentation... Thank you very much ❤❤❤
this was so well done. a good complement is 3Brown1Blue's videos on convolutions
Mind blowing
Is this related to Green's function and point of interest (POI)? I think so!
When hammer the system, and if the A matrix is rotational, then e^Ax turns out rotation. Hence system may go constant oscillation.
The point is, if you can find a values for A that is rotational then you would be able to get infinite oscillations on that system.
Every system may have this sweat spot.
One can found with carefully analyze and tweak the impulse response and play with A matrix
very good and concept wise explanation¡¡¡
Hi Professor Brunton. Have you made any videos on discrete time models, i.e. difference equations? If not, can I request a series on that? Thank you!
Thanks very much sir. This is very helpful ....
What a happy tought. beautiful :)
Why do I feel like I've seen something like this in economics?