INFINITE-DIMENSIONAL FEEDBACK SYSTEMS: THE CIRCLE CRITERION AND INPUT-TO-STATE STABILITY

被引:0
|
作者
Jayawardhana, Bayu [1 ,2 ]
Logemann, Hartmut [1 ]
Ryan, Eugene P. [1 ]
机构
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
[2] Univ Groningen, Dept Discrete Technol & Prod Automat, NL-9747 AG Groningen, Netherlands
关键词
Absolute stability; Circle criterion; Hysteresis; Input-to-state stability; Well-posed infinite-dimensional systems;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of a class of infinite-dimensional systems. The generic system is of Lur'e type: a feedback interconnection of a well-posed infinite-dimensional linear system and a nonlinearity. The class of nonlinearities is subject to a (generalized) sector condition and contains, as particular subclasses, both static nonlinearities and hysteresis operators of Preisach type.
引用
收藏
页码:413 / 443
页数:31
相关论文
共 50 条
  • [1] Input-to-state stability for infinite-dimensional systems
    Jacob, Birgit
    Mironchenko, Andrii
    Schwenninger, Felix
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2022, 34 (01) : 215 - 216
  • [2] Input-to-state stability for infinite-dimensional systems
    Birgit Jacob
    Andrii Mironchenko
    Felix Schwenninger
    [J]. Mathematics of Control, Signals, and Systems, 2022, 34 : 215 - 216
  • [3] Characterizations of Input-to-State Stability for Infinite-Dimensional Systems
    Mironchenko, Andrii
    Wirth, Fabian
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (06) : 1692 - 1707
  • [4] Input-to-state stability of infinite-dimensional control systems
    Sergey Dashkovskiy
    Andrii Mironchenko
    [J]. Mathematics of Control, Signals, and Systems, 2013, 25 : 1 - 35
  • [5] Input-to-state stability of infinite-dimensional control systems
    Dashkovskiy, Sergey
    Mironchenko, Andrii
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2013, 25 (01) : 1 - 35
  • [6] INPUT-TO-STATE STABILITY OF INFINITE-DIMENSIONAL STOCHASTIC NONLINEAR SYSTEMS
    Wang, Pengfei
    Zhang, Mengyi
    Su, Huan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (02): : 821 - 836
  • [7] Strong input-to-state stability for infinite-dimensional linear systems
    Robert Nabiullin
    Felix L. Schwenninger
    [J]. Mathematics of Control, Signals, and Systems, 2018, 30
  • [8] Integral input-to-state stability of bilinear infinite-dimensional systems
    Mironchenko, Andrii
    Ito, Hiroshi
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 3155 - 3160
  • [9] Strong input-to-state stability for infinite-dimensional linear systems
    Nabiullin, Robert
    Schwenninger, Felix L.
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2018, 30 (01)
  • [10] Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems
    Damak, H.
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (10) : 2100 - 2113