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ep7 - Jean-Jacques Slotine: Sliding, nonlinear and adaptive control, contraction theory, complex networks, optimization, and machine learning

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Nonlinear Control

Why is it possible that we can study nonlinear phenomena in such an easy way through essentially linear techniques? So why is it? Yeah, so what we wonder about that. But then we quickly realized actually the key is that it's not linearization at a point, it's linearization everywhere. And here it's based on the Jacobian everywhere. The fact it was still based on linearization allowed to use a lot of matrix algebra and so on that you normally don't use in non Linear Control. This very problem actually has some history in control itself.

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