Optimal boundary control of a string to rest in finite time with continuous state

Gugat M (2006)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2006

Journal

ZAMM - Zeitschrift für angewandte Mathematik und Mechanik Wiley-VCH Verlag

Publisher: Wiley-VCH Verlag

Book Volume: 86

Pages Range: 134-150

Journal Issue: 2

URI: http://www3.interscience.wiley.com/search/allsearch?WISsearch2=Gugat&WISindexid2=WISall&mode=quicksearch&products=journal&contextLink=%3Ca+href%3D%22%2Findex.html%22+target%3D%22_top%22%3EHome%3C%2Fa%3E+%2F+%3Ca+href%3D%22%2Fcgi-bin%2Fbrowsebysubject%3Fcode%3DMAST%22+target%3D%22_top%22%3EMathematics+and+Statistics%3C%2Fa%3E+%2F+%3Ca+href%3D%22%2Fcgi-bin%2Fbrowsebycategory%3Fcode%3DMA00%22+target%3D%22_top%22%3EMathematics+%28general%29%3C%2Fa%3E&contentOID=5007542&contentTitle=ZAMM&WISindexid1=issn&WISsearch1=1521-4001&articleGo.x=0&articleGo.y=0

DOI: 10.1002/zamm.200410236

Abstract

The problem to control a finite string to the zero state in finite time from a given initial state by controlling the state at the two boundary points in such a way that the controls generate a continuous state is considered. The corresponding optimal control problem where the objective function is the L ² norm of the derivatives of the controls is solved explicitly in the sense that controls that are successful and minimize at the same time the objective function are determined as functions of the initial state. © 2006 WILEY-VCH Verlag GmbH & Co. KGaA.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik

How to cite

APA:

Gugat, M. (2006). Optimal boundary control of a string to rest in finite time with continuous state. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 86(2), 134-150. https://doi.org/10.1002/zamm.200410236

MLA:

Gugat, Martin. "Optimal boundary control of a string to rest in finite time with continuous state." ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 86.2 (2006): 134-150.

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