I am a PhD student in electrical engineering and need to work on Optimal control theory. Whenever I go through theorems, I see mathematical basics that I don't know (like optimization and theorems about hyper-planes and manifolds). Can you please suggest me readings that can help me build the mathematical foundation for this field?
2026-03-27 10:09:01.1774606141
optimal control: how to build a good mathematical foundation
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As a start, you can brush up your knowledge by studying some undergraduate mathematic texts on real analysis, topology, and optimization.
Some books I found useful initially:
Browder, Andrew (1996). Mathematical Analysis: An Introduction.
Tu, Loring (2010). An Introduction to Manifolds.
Chong and Zak (2013). An Introduction to Optimization.