Displaying similar documents to “Duality for optimal control-approximation problems with gauges.”

-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...

Evolution of structure for direct control optimization

Maciej Szymkat, Adam Korytowski (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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The paper presents the Monotone Structural Evolution, a direct computational method of optimal control. Its distinctive feature is that the decision space undergoes gradual evolution in the course of optimization, with changing the control parameterization and the number of decision variables. These structural changes are based on an analysis of discrepancy between the current approximation of an optimal solution and the Maximum Principle conditions. Two particular implementations, with...

Ergodic control of Markov processes with mixed observation structure

Łukasz Stettner

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CONTENTS1. Introduction........................................................................................................ 52. Preliminary results and assumptions.................................................................. 73. Approximation of the invariant measure.............................................................. 144. Construction of nearly optimal control functions................................................ 24 4.1. Approximation of admissible control functions.....................................