A convex penalty for switching control of partial differential equations

被引：20
|
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.
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页码：66 / 73
页数：8
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