Optimal Control Problems with a First Order PDE System — Necessary and Sufficient Optimality Conditions

Sabine Pickenhain and Marcus Wagner
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Sabine Pickenhain: Technische Universität Cottbus, Institut für Mathematik
Marcus Wagner: Technische Universität Cottbus, Institut für Mathematik

A chapter in Online Optimization of Large Scale Systems, 2001, pp 159-172 from Springer

Abstract: Abstract This paper gives an overview over the results concerning necessary and sufficient optimality conditions for optimal control problems with multiple integrals 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.

Keywords: Optimal Control Problem; Pontryagins Maximum Principle; Construction Scheme; Sufficient Optimality Condition; Sufficiency Condition (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_11

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DOI: 10.1007/978-3-662-04331-8_11

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