Passivity and complementarity

被引：23

作者：

Camlibel, M. K. ^{[1
,2
]}

Iannelli, L. ^{[3
]}

Vasca, F. ^{[3
]}

机构：

[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands

[2] Dogus Univ, Dept Elect & Commun Engn, TR-34722 Istanbul, Turkey

[3] Univ Sannio, Dipartimento Ingn, I-82100 Benevento, Italy

来源：

MATHEMATICAL PROGRAMMING | 2014年 / 145卷 / 1-2期

关键词：

LINEAR-SYSTEMS; CONTROLLABILITY; STABILITY;

D O I：

10.1007/s10107-013-0678-4

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper studies the interaction between the notions of passivity of systems theory and complementarity of mathematical programming in the context of complementarity systems. These systems consist of a dynamical system (given in the form of state space representation) and complementarity relations. We study existence, uniqueness, and nature of solutions for this system class under a passivity assumption on the dynamical part. A complete characterization of the initial states and the inputs for which a solution exists is given. These initial states are called consistent states. For the inconsistent states, we introduce a solution concept in the framework of distributions.

引用

页码：531 / 563

页数：33

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