On the equivalence between complementarity systems, projected systems and differential inclusions

被引：116

作者：

Brogliato, B

Daniilidis, A

Lemaréchal, C

Acary, V

机构：

[1] INRIA, Bipop Res Team, F-38334 Saint Ismier, France

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Bellaterra, Spain

来源：

SYSTEMS & CONTROL LETTERS | 2006年 / 55卷 / 01期

关键词：

complementarity systems; projected dynamics; unilateral dynamics; hybrid dynamical systems; differential inclusions;

D O I：

10.1016/j.sysconle.2005.04.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, we prove the equivalence, under appropriate conditions, between several dynamical formalisms: projected dynamical systems, two types of differential inclusions, and a class of complementarity dynamical systems. Each of these dynamical systems can also be considered as a hybrid dynamical system. This work both generalizes previous results and sheds some new light on the relationship between known formalisms; besides, it exclusively uses tools from convex analysis. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：45 / 51

页数：7

共 25 条

[1] [Anonymous], 2003, SPRINGER SERIES OPER
[2] Aubin J.-P., 1984, DIFFERENTIAL INCLUSI, V264
[3] Bensoussan A., 1984, IMPULSE CONTROL QUAS
[4] BREZIS H., 1973, North-Holland Math. Stud., V5
[5] Absolute stability and the Lagrange-Dirichlet theorem with monotone multivalued mappings
Brogliato, B
[J]. SYSTEMS & CONTROL LETTERS, 2004, 51 (05) : 343 - 353
[6] Some perspectives on the analysis and control of complementarity systems
Brogliato, B
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) : 918 - 935
[7] Castaing C, 1977, LECT NOTES MATH, V580, DOI DOI 10.1007/BFB0087686
[8] EXISTENCE OF SLOW SOLUTIONS FOR A CLASS OF DIFFERENTIAL-INCLUSIONS
CORNET, B
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 96 (01) : 130 - 147
[9] Cottle R, 1992, The Linear Complementarity Problem
[10] Dupuis P., 1993, Annals of Operations Research, V44, P9

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