Outline
00:00 - Intro
02:55 - Brachistochrone problem
20:52 - Beginning of the calculus of variations
32:00 - Principle of least action
42:37 - Maximum principle
1:02:35 - Dynamic programming
1:11:12 - Linear quadratic control
1:16:37 - Beyond optimal control: games, nonsmooth analysis, MPC, RL
1:28:40 - Outro

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Acknowledgments and sponsors
This episode was supported by the National Centre of Competence in Research on «Dependable, ubiquitous automation» and the IFAC Activity fund. The podcast benefits from the help of an incredibly talented and passionate team. Special thanks to L. Seward, E. Cahard, F. Banis, F. Dörfler, J. Lygeros, ETH studio and mirrorlake . Music was composed by A New Element.

The Mathematical Theory of Optimal Processes

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