The complementarity class of hybrid dynamical systems

被引：41
作者：
Heemels, WPMH
Brogliato, B
机构：
[1] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands
[2] ZIRST Montbonnot, INRIA, F-38334 St Ismier, France
来源：
EUROPEAN JOURNAL OF CONTROL | 2003年 / 9卷 / 2-3期
关键词：
hybrid systems; complementarity; piecewise linear systems; dynamics and inequalities; well-posedness; stability; controllability; constrained mechanics; switched circuits; convex analysis;
D O I：
10.3166/ejc.9.322-360
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 gives an introduction to the field of dynamical complementarity systems. A summary of their main applications and properties together with connections to other hybrid model classes is provided. Moreover, the main mathematical tools which allow one to study complementarity systems are presented briefly: Many examples illustrate the developments. The available results on modeling, simulation, controllability, observability and stabilization are presented and further suggestions for reading can be found in this overview.
引用
收藏
页码：322 / 360
页数：39
相关论文
共 103 条
[1]   THE ALGORITHMIC ANALYSIS OF HYBRID SYSTEMS [J].
ALUR, R ;
COURCOUBETIS, C ;
HALBWACHS, N ;
HENZINGER, TA ;
HO, PH ;
NICOLLIN, X ;
OLIVERO, A ;
SIFAKIS, J ;
YOVINE, S .
THEORETICAL COMPUTER SCIENCE, 1995, 138 (01) :3-34
[2]  
Anderson B., 1973, Network Analysis and Synthesis: AModern Systems Theory Approach
[3]  
ANISTESCU M, 1999, COMPUTER METHODS APP, V177, P183
[4]  
[Anonymous], DISSIPATIVE SYSTEMS
[5]  
[Anonymous], 2018, Mathematical Theory of Optimal Processes
[6]   Observer-based control of systems with slope-restricted nonlinearities [J].
Arcak, M ;
Kokotovic, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) :1146-1150
[7]  
BAINOV D, 1989, E HORWOOD SERIES MAT
[8]   The dynamics of discrete mechanical systems with perfect unilateral constraints [J].
Ballard, P .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2000, 154 (03) :199-274
[9]   Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints [J].
Ballard, P .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 359 (1789) :2327-2346
[10]   The explicit linear quadratic regulator for constrained systems [J].
Bemporad, A ;
Morari, M ;
Dua, V ;
Pistikopoulos, EN .
AUTOMATICA, 2002, 38 (01) :3-20
12345678910