Dubins' problem is intrinsically three-dimensional

Dirk Mittenhuber

Displaying similar documents to “Dubins' problem is intrinsically three-dimensional”

Regular time-optimal syntheses for smooth planar systems

Benedetto Piccoli (1996)

Rendiconti del Seminario Matematico della Università di Padova

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Time minimal control of batch reactors

B. Bonnard, G. Launay (1998)

ESAIM: Control, Optimisation and Calculus of Variations

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Geometric control approach to synthesis theory.

Boscain, U., Piccoli, B. (1998)

Rendiconti del Seminario Matematico

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Une approche géométrique du contrôle optimal de l'arc atmosphérique de la navette spatiale

Bernard Bonnard, Emmanuel Trélat (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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The aim of this article is to make some geometric remarks and some preliminary calculations in order to construct the optimal atmospheric arc of a spatial shuttle (problem of reentry on Earth or Mars Sample Return project). The system describing the trajectories is in dimension 6, the control is the bank angle and the cost is the total thermal flux. Moreover there are state constraints (thermal flux, normal acceleration and dynamic pressure). Our study is mainly geometric and is founded...

Switchings of optimal controls and the equation $y^{(4)} + {| y |}^{α} s i g n y = 0$ , $0 < α < 1$

Pavol Brunovský, John J. Mallet-Paret (1985)

Časopis pro pěstování matematiky

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Time minimal synthesis with target of codimension one under generic conditions

B. Bonnard, M. Pelletier (1995)

Banach Center Publications

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We consider the problem of constructing the optimal closed loop control in the time minimal control problem, with terminal constraint belonging to a manifold of codimension one, for systems of the form $v ̇ = X + u Y$ , $| u | \leq 1$ and $v \in R^{2}$ or $R^{3}$ , under generic assumptions. The analysis is localized near the terminal manifold and is developed to control a class of chemical systems.

Geometric optimal control and two-level dissipative quantum systems

Bernard Bonnard, Dominique Sugny (2009)

Control and Cybernetics

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Optimal control from inoculation on a continuous microalgae culture

Jorge Antonio Torres-Muñoz, Irandi Gutierrez-Carmona, Alma Rosa Dominguez-Bocanegra (2016)

Kybernetika

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The present work is centred on the problem of biomass productivity optimization of a culture of microalgae Spirulina maxima. The mathematical tools consisted of necessary and sufficient conditions for optimal control coming from the celebrated Pontryagin's Maximum Principle (PMP) as well as the Bellman's Principle of Optimality, respectively. It is shown that the optimal dilution rate turns to be a bang-singular-bang control. It turns out that, the experimental results are in accordance...