Optimal shape design and unilateral boundary value problems: Part II

IF 2 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Optimal Control Applications & Methods Pub Date : 2007-10-29 DOI:10.1002/OCA.4660090204

J. Haslinger, P. Neittaanmäki, T. Tiihonen, A. Kaarna

引用次数: 1

Abstract

In the first part we give a general existence theorem and a regularization method for an optimal control problem where the control is a domain in R″ and where the system is governed by a state relation which includes differential equations as well as inequalities. In the second part applications for optimal shape design problems governed by the Dirichlet-Signorini boundary value problem are presented. Several numerical examples are included.

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最优形状设计和单边边值问题:第二部分

在第一部分中，我们给出了一个最优控制问题的一般存在性定理和正则化方法，其中控制是R″中的一个域，系统由包含微分方程和不等式的状态关系控制。第二部分给出了由Dirichlet-Signorini边值问题控制的最优形状设计问题的应用。给出了几个数值算例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Optimal Control Applications & Methods 工程技术-应用数学

CiteScore

3.90

自引率

11.10%

发文量

108

审稿时长

3 months

期刊介绍： Optimal Control Applications & Methods provides a forum for papers on the full range of optimal and optimization based control theory and related control design methods. The aim is to encourage new developments in control theory and design methodologies that will lead to real advances in control applications. Papers are also encouraged on the development, comparison and testing of computational algorithms for solving optimal control and optimization problems. The scope also includes papers on optimal estimation and filtering methods which have control related applications. Finally, it will provide a focus for interesting optimal control design studies and report real applications experience covering problems in implementation and robustness.