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Instantaneous Control of Vibrating String Networks

Ralf Hundhammer and Günter Leugering
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Ralf Hundhammer: Technische Universität Darmstadt, Fachbereich Mathematik
Günter Leugering: Technische Universität Darmstadt, Fachbereich Mathematik

A chapter in Online Optimization of Large Scale Systems, 2001, pp 229-249 from Springer

Abstract: Abstract We introduce an algorithm for instantaneous control of vibrating string networks, where, after semidiscretization of the time variable, the resulting elliptic 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 are presented for simulation and control of several string networks.

Keywords: Optimality System; Domain Decomposition; Transmission Condition; Domain Decomposition Method; Single Time Step (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04331-8_15

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DOI: 10.1007/978-3-662-04331-8_15

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