Application of the principle of the Pontryagin maximum in the solution of a problem of minimum time
DOI:
https://doi.org/10.17268/sel.mat.2021.02.10Keywords:
Optimal control, ordinary differential equationsAbstract
In the present work, necessary and sufficient optimality conditions are presented for the solution to a mínimum time problem. These conditions are established by the principle of the Pontryagin maximum, as a necessary and sufficient condition. In addition, the principle of the Pontryagin maximum is used in the search for the solution to an optimal control problem of mechanical origin.
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Cerdá TE. Optimización dinámica. España, Madrid. Prentice Hall. 2001. Pages 100-153.
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