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

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 correspond...

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Bibliographic Details
Published in:arXiv.org 2022-01
Main Authors: Dmitruk, Andrei, Samylovskiy, Ivan
Format: Article
Language:English
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Summary: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.
ISSN:2331-8422