In my experience success is always the result of team work: Professor Strang delivers a brilliant lecture, MIT uploads, we all benefit, the whole system benefits. Go team!
Thank you Professor Strang and MIT OCW. Professor Strang is amazing and his method of building complicating structures from simplified versions is awesome.
Denoting the critical point as Y really confuses me... because whenever I see y or Y, I think of functions. But Y here is always a constant. Using a different letter helped me.
![Linearizing Around a Fixed Point [Control Bootcamp]](/img/n.gif)
In my experience success is always the result of team work: Professor Strang delivers a brilliant lecture, MIT uploads, we all benefit, the whole system benefits. Go team!
Thank you Professor Strang and MIT OCW. Professor Strang is amazing and his method of building complicating structures from simplified versions is awesome.
DR. Strang you are the grandfather of linear systems.
Denoting the critical point as Y really confuses me... because whenever I see y or Y, I think of functions. But Y here is always a constant.
Using a different letter helped me.
y is a function, right? You tried to plot f(y), and got a curve. I am confused.
Yes, y should be interpreted as a function of time. For example, it could be y(t) = 2t - 1
i surely miss something, i can't see a zero slope at the point Y in his graphs. Can someone help!
I think you mean at 3:00 ? f(y) is defined as dy/dt; so f(Y) = 0 [intersecting the y axis] and the slope of f(Y) is d²y/dt².
Worth mentioning that he draws phase plane (dy/dt y)
Wow
G