A convex penalty for switching control of partial differential equations

被引：19

作者：

Clason, Christian ^{[1
]}

Rund, Armin ^{[2
]}

Kunisch, Karl ^{[2
]}

Barnard, Richard C. ^{[3
]}

机构：

[1] Univ Duisburg Essen, Fac Math, D-45117 Essen, Germany

[2] Karl Franzens Univ Graz, Inst Math & Sci Comp, Heinrichstr 36, A-8010 Graz, Austria

[3] Oak Ridge Natl Lab, Div Math & Comp Sci, Computat & Appl Math Grp, POB 2008, Oak Ridge, TN 37831 USA

来源：

SYSTEMS & CONTROL LETTERS | 2016年 / 89卷

基金：

奥地利科学基金会;

关键词：

Optimal control; Switching control; Partial differential equations; Nonsmooth optimization; Convex analysis; Semi-smooth Newton method; STABILITY; SYSTEMS;

D O I：

10.1016/j.sysconle.2015.12.013

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A convex penalty for promoting switching controls for partial differential equations is introduced; such controls consist of an arbitrary number of components of which at most one should be simultaneously active. Using a Moreau-Yosida approximation, a family of approximating problems is obtained that is amenable to solution by a semismooth Newton method. The efficiency of this approach and the structure of the obtained controls are demonstrated by numerical examples. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：66 / 73

页数：8

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