A Unified Approach to Generating Series for Nonlinear Cascade Systems

被引：0
|
作者：
Gray, W. Steven [1 ]
机构：
[1] Old Dominion Univ, Dept Elect & Comp Engn, Norfolk, VA 23529 USA
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词：
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：
The goal of the paper is to describe in a unified fashion the generating series for the cascade connection of any two analytic nonlinear input-output systems. In particular, it will be shown that a single general definition of a composition product can be formulated in terms of formal power series to describe any possible cascade connection of Fliess operators or memoryless maps provided that the composite system is well defined and resides in one of these two classes.
引用
收藏
页码：8002 / 8007
页数：6
相关论文
共 50 条
  • [41] LINEAR STABILIZATION OF NONLINEAR CASCADE SYSTEMS
    BACCIOTTI, A
    BOIERI, P
    MAZZI, L
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1993, 6 (02) : 146 - 165
  • [42] POSITIONING SYSTEMS - A UNIFIED APPROACH
    DRANE, CR
    LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1992, 181 : 1 - 163
  • [43] A UNIFIED APPROACH TO UNIQUENESS OF WALSH-SERIES AND HAAR SERIES
    WADE, WR
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (01) : 61 - 65
  • [44] A Time Series Forecasting Approach Based on Nonlinear Spiking Neural Systems
    Long, Lifan
    Liu, Qian
    Peng, Hong
    Yang, Qian
    Luo, Xiaohui
    Wang, Jun
    Song, Xiaoxiao
    INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2022, 32 (08)
  • [45] Comments on "A unified approach for stability analysis of a class of time-varying nonlinear systems"
    Sio, KC
    Lee, CK
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (10) : 1675 - 1677
  • [46] Formal power series approach to nonlinear systems with additive static feedback
    Venkatesh, G. S.
    Gray, W. Steven
    INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (06) : 1619 - 1637
  • [47] Formal Power Series Approach to Nonlinear Systems with Static Output Feedback
    Venkatesh, G. S.
    Gray, W. Steven
    IFAC PAPERSONLINE, 2021, 54 (09): : 192 - 198
  • [48] Blind identification of series-cascade nonlinear channels
    Kibangou, Alain Y.
    Favier, Gerard
    de Almeida, Andre L. F.
    2005 39th Asilomar Conference on Signals, Systems and Computers, Vols 1 and 2, 2005, : 422 - 426
  • [49] A NONLINEAR-PROGRAMMING APPROACH TO THE DESIGN OF CASCADE COMPENSATORS FOR LINEAR-CONTROL SYSTEMS
    EGBERT, RI
    PROCEEDINGS OF THE IEEE, 1984, 72 (05) : 650 - 652
  • [50] Optimization design for a class of multi-input nonlinear cascade systems: Backstepping approach
    Zhang, Y
    Li, SY
    2004 8TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1-3, 2004, : 1723 - 1728
12345