Equivalence of hybrid dynamical models

被引：499
作者：
Heemels, WPMH
De Schutter, B
Bemporad, A
机构：
[1] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands
[2] Delft Univ Technol, Fac ITS, Control Lab, NL-2600 GA Delft, Netherlands
[3] Univ Siena, Dipartimento Ingn Informaz, I-53100 Siena, Italy
[4] ETH Zurich, Automat Control Lab, CH-8092 Zurich, Switzerland
来源：
AUTOMATICA | 2001年 / 37卷 / 07期
关键词：
hybrid systems; piecewise affine systems; equivalent models;
D O I：
10.1016/S0005-1098(01)00059-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and max-min-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance for transferring theoretical properties and tools from one class to another, with the consequence that for the study of a particular hybrid system that belongs to any of these classes. one can choose the most convenient hybrid modeling framework. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1085 / 1091
页数：7
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