Titlebook: Online Optimization of Large Scale Systems; Martin Gr?tschel,Sven O. Krumke,J?rg Rambau Book 2001 Springer-Verlag Berlin Heidelberg 2001 O

MAG

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Optimal Control Problems with a First Order PDE System — Necessary and Sufficient Optimality Conditiegrals and first order partial differential equations. Second order sufficiency conditions are illustrated by the problem of minimal k-energy in an n-dimensional space. It can be shown by the developed theory that a certain cone has strong minimizing properties.

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Supplement

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Instantaneous Control of Vibrating String Networkselliptic optimization systems are solved for each single time step. The elliptic network problems themselves are solved by domain decomposition. An interpretation of the algorithm as a local optimality system is given, as well as an interpretation as a local discrete feedback law. Numerical results

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Modelling, Stabilization, and Control of Flow in Networks of Open Channelsneralize in a variety of ways recent results of Coron, d’ándrea-Novel and Bastin concerning the stabilizability around equilibrium of the flow through a single channel to serially connected channels and finally to networks of channels. The work presented here is entirely based on the theory of quasi

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FLIP

Fast Optimization Methods in the Selective Cooling of Steelm continuous or discrete sets. A method of instantaneous control is applied to establish a fast solution technique. Moreover, continuous and discrete control strategies are compared, and conclusions are given from an applicational point of view.

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