Time-scaling symmetry and Zeno solutions

被引：13
|
作者：
Schumacher, J. M. [1 ,2 ]
机构：
[1] Tilburg Univ, Dept Econometr & Operat Res, NL-5000 LE Tilburg, Netherlands
[2] Tilburg Univ, CentER, NL-5000 LE Tilburg, Netherlands
来源：
AUTOMATICA | 2009年 / 45卷 / 05期
关键词：
Time-scaling symmetry; Zeno solutions; Relay systems; Orbit return map; Dimension reduction; Hybrid systems;
D O I：
10.1016/j.automatica.2008.12.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Symmetries are often helpful in reducing the complexity of the analysis of dynamical systems. Here we discuss a symmetry that combines a transformation in space with a scaling of time Examples are given. of a number of nonsmooth dynamical systems in which a symmetry of this type occurs. The time-scaling symmetry can be combined with return mapping analysis to achieve a dimension reduction in addition to the one already obtained from considering the return map. The method is applied in a study of Zeno behavior in linear systems with relay feedback. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1237 / 1242
页数：6
相关论文
共 50 条
  • [1] TIME-SCALING IN IRREVERSIBLE THERMODYNAMICS
    GEIGENMULLER, U
    FELDERHOF, BU
    TITULAER, UM
    PHYSICA A, 1983, 120 (03): : 635 - 646
  • [2] TIME-SCALING RULE FOR A GENERAL CASE
    BAKER, DW
    SIMULATION, 1973, 21 (05) : 144 - 144
  • [3] Time-scaling in recurrent neural learning
    Riaza, R
    Zufiria, PJ
    ARTIFICIAL NEURAL NETWORKS - ICANN 2002, 2002, 2415 : 1371 - 1376
  • [4] Time-scaling control of an underactuated manipulator
    Arai, H
    Tanie, K
    Shiroma, N
    JOURNAL OF ROBOTIC SYSTEMS, 1998, 15 (09): : 525 - 536
  • [5] Time-scaling analysis of lightning in Italy
    Telesca, Luciano
    Bernardi, Marina
    Rovelli, Cinzia
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (07) : 1384 - 1396
  • [6] TIME-SCALING TREES IN THE FOSSIL RECORD
    Bapst, David W.
    JOURNAL OF VERTEBRATE PALEONTOLOGY, 2012, 32 : 60 - 60
  • [7] Time-scaling properties of city fires
    Telesca, Luciano
    Song, Weiguo
    CHAOS SOLITONS & FRACTALS, 2011, 44 (07) : 558 - 568
  • [8] Time-scaling control of an underactuated manipulator
    Mechanical Engineering Lab, Tsukuba, Japan
    J Rob Syst, 9 (525-536):
  • [9] Time-scaling control of an underactuated manipulator
    Arai, H
    Tanie, K
    Shiroma, N
    1998 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1-4, 1998, : 2619 - 2626
  • [10] The time-scaling of responses of MIMO systems
    Grzywacz, Bogdan
    Circuits and Systems for Signal Processing , Information and Communication Technologies, and Power Sources and Systems, Vol 1 and 2, Proceedings, 2006, : 429 - 432
12345