Geometric Approach to Pontryagin ’ S Maximum Principle

  title={Geometric Approach to Pontryagin ’ S Maximum Principle},
  author={Mar{\'i}a Barbero-Li{\~n}{\'a}n and Miguel C. Mu{\~n}oz-Lecanda},
Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy. Here, we focus on the proof and on the understanding of this Principle, using as much geometric ideas and geometric tools as possible. This approach provides a better and clearer understanding of the Principle and, in particular, of the role of the abnormal extremals. These extremals are… CONTINUE READING
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