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arXiv · 2009.13086

Optimal synthesis in the simplest time-optimal problem with a linear state constraint

Andrei Dmitruk·Ivan Samylovskiy
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Abstract

We consider the time-optimal problem for a classical system of "double integrator" under the presence of a linear state constraint. By using the Maximum Principle of Dubovitskii and Milyutin, we determine a complete synthesis of optimal trajectories and qualitatively analyze the corresponding Lagrange multipliers.

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Andrei Dmitruk, Ivan Samylovskiy. 2020-09-28. Optimal synthesis in the simplest time-optimal problem with a linear state constraint. https://arxiv.org/abs/2009.13086

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