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
  • [21] A perturbation approach to the stabilization of nonlinear cascade systems with time-delay
    Michiels, W
    Sepulchre, R
    Roose, D
    Moreau, L
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 1898 - 1903
  • [22] Stabilization of nonlinear cascade systems
    Ferfera, A
    Hammami, MA
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2000, 7 (01) : 97 - 105
  • [23] Distributional Generating Series in Nonlinear Control Theory
    Gray, W. Steven
    Pham, Natalie
    Schmeding, Alexander
    2024 58TH ANNUAL CONFERENCE ON INFORMATION SCIENCES AND SYSTEMS, CISS, 2024,
  • [24] Messy time series: A unified approach
    Harvey, A
    Koopman, SJ
    Penzer, L
    ADVANCES IN ECONOMETRICS, VOL 13 1998, 1998, 13 : 103 - 143
  • [25] Series-cascade nonlinear adaptive filters
    Hegde, V
    Radhakrishnan, C
    Krusienski, D
    Jenkins, WK
    2002 45TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III, CONFERENCE PROCEEDINGS, 2002, : 219 - 222
  • [26] An Approach to Multidimensional Discrete Generating Series
    Akhtamova, Svetlana S.
    Cuchta, Tom
    Lyapin, Alexander P.
    MATHEMATICS, 2024, 12 (01)
  • [27] A modified Volterra series approach for nonlinear dynamic systems modeling
    Mirri, D
    Iuculano, G
    Filicori, F
    Pasini, G
    Vannini, G
    Gualtieri, GP
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (08): : 1118 - 1128
  • [28] UNIFIED APPROACH TO DETERMINATION OF FREQUENCY CRITERIA FOR STABILITY OF NONLINEAR AND-OR UNSTEADY SYSTEMS
    LALANNE, B
    RAULT, A
    REVUE FRANCAISE D AUTOMATIQUE INFORMATIQUE RECHERCHE OPERATIONNELLE, 1973, 7 (FEB): : 70 - 96
  • [29] A UNIFIED APPROACH TO STABILITY CONDITIONS OF LARGE-SCALE NONLINEAR EVOLUTION SYSTEMS
    SPITERI, P
    LARGE SCALE SYSTEMS IN INFORMATION AND DECISION TECHNOLOGIES, 1986, 10 (01): : 57 - 74
  • [30] A unified approach for stability analysis of a class of time-varying nonlinear systems
    Feng, CB
    Fei, SM
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) : 998 - 1002
12345