Open Access
Winter 2003 Optimal control systems governed by second-order ODEs with Dirichlet boundary data and variable parameters
Urszula Ledzewicz, Heinz Schättler, Stanislaw Walczak
Illinois J. Math. 47(4): 1189-1206 (Winter 2003). DOI: 10.1215/ijm/1258138099

Abstract

Optimal control systems governed by second-order ODEs with boundary data and variable parameters are considered. Using variational methods a theorem on existence of optimal processes is proven and a sufficient condition for continuous (or semicontinuous) dependence of optimal trajectories and controls on parameters is given.

Citation

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Urszula Ledzewicz. Heinz Schättler. Stanislaw Walczak. "Optimal control systems governed by second-order ODEs with Dirichlet boundary data and variable parameters." Illinois J. Math. 47 (4) 1189 - 1206, Winter 2003. https://doi.org/10.1215/ijm/1258138099

Information

Published: Winter 2003
First available in Project Euclid: 13 November 2009

zbMATH: 1031.49002
MathSciNet: MR2036998
Digital Object Identifier: 10.1215/ijm/1258138099

Subjects:
Primary: 49K40
Secondary: 34H05 , 49J15

Rights: Copyright © 2003 University of Illinois at Urbana-Champaign

Vol.47 • No. 4 • Winter 2003
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