Projected dynamical systems in a complementarity formalism

被引：42
作者：
Heemels, WPMH
Schumacher, JM
Weiland, S
机构：
[1] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands
[2] Tilburg Univ, Dept Econ, NL-5000 LE Tilburg, Netherlands
[3] CWI, NL-1090 GB Amsterdam, Netherlands
来源：
OPERATIONS RESEARCH LETTERS | 2000年 / 27卷 / 02期
关键词：
variational inequalities; complementarity; discontinuous dynamical systems; systems theory; optimization;
D O I：
10.1016/S0167-6377(00)00042-0
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Projected dynamical systems have been introduced by Dupuis and Nagurney as dynamic extensions of variational inequalities. In the systems and control literature, complementarity systems have been studied as input/output dynamical systems whose inputs and outputs are connected through complementarity conditions. We show here that, under mild conditions, projected dynamical systems can be written as complementarity systems. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：83 / 91
页数：9
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