Displaying similar documents to “Optimal control in linear systems without the condition of regular controllability”

Coplanar control of a satellite around the Earth

Jean-Baptiste Caillau, Joseph Noailles (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.

Existence of optimal nonanticipating controls in piecewise deterministic control problems

Atle Seierstad (2013)

ESAIM: Control, Optimisation and Calculus of Variations

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Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.

-Norm minimal control of the wave equation: on the weakness of the bang-bang principle

Martin Gugat, Gunter Leugering (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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For optimal control problems with ordinary differential equations where the L ∞ -norm of the control is minimized, often bang-bang principles hold. For systems that are governed by a hyperbolic partial differential equation, the situation is different: even if a weak form of the bang-bang principle still holds for the wave equation, it implies no restriction on the form of the optimal control. To illustrate that for the Dirichlet boundary control of the wave equation in general not even...