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welcome back so in this lecture im really excited about telling you uh about how reinforcement learning connects with optimal nonlinear control this is just a splash screen dont try to read everything im going to build this out and go through it carefully i just wanted to kind of show you this is going to be a really cool one and this fits in again to this bigger picture of reinforcement learning that weve been talking about specifically down here in this kind of model based reinforcement learning where instead of a probabilistic process were dealing with a nonlinear dynamical system or differential equation x dot equals f of x comma u and we you know in the control boot camp we talked a lot about how do you do optimal control for linear systems when these dynamics are given by a matrix a times x plus b times u and this kind of generalizes it to fully nonlinear dynamics okay and again this fits into this idea that richard bellman put forward in the