Geodesic
An optimal synthesis for a triple integrator with a state constraint
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 3, pp. 68-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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The time-optimal problem of steering a triple integrator from an arbitrary point to the origin is considered under constraints on the input control and on one of the state variables. An optimal control is synthesized based on the maximum principle in the Dubovitskii–Milyutin form.
Keywords: control system, time optimality, state constraint, maximum principle, switching points, optimal synthesis.
Mots-clés : Lebesgue–Stieltjes measure 
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E. Voronina; A. V. Dmitruk. An optimal synthesis for a triple integrator with a state constraint. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 3, pp. 68-85. http://geodesic.mathdoc.fr/item/TIMM_2024_30_3_a5/

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