REDUCTION OF DISCRETE-TIME LINEAR INFINITE DIMENSIONAL SYSTEMS VIA BALANCED REALIZATION - THE CASE OF NUCLEAR SYSTEMS

被引:0
|
作者
BONNET, C [1 ]
DENIAU, C [1 ]
机构
[1] GRIM,FAC SCI LUMINY,DEPT MATH,F-13288 MARSEILLE 09,FRANCE
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1992年 / 314卷 / 11期
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that approximation of infinite dimensional discrete time nuclear linear systems, via balanced realization is L(infinity) convergent.
引用
收藏
页码:871 / 874
页数:4
相关论文
共 50 条
  • [1] Controller reduction by balanced truncation for infinite-dimensional, discrete-time systems
    Selig, Tilman
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2015, 27 (01) : 111 - 147
  • [2] APPROXIMATION OF INFINITE-DIMENSIONAL DISCRETE-TIME LINEAR-SYSTEMS VIA BALANCED REALIZATIONS AND AN APPLICATION TO FRACTIONAL FILTERS
    BONNET, C
    LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1993, 185 : 574 - 584
  • [3] Linear quadratic Gaussian balancing for discrete-time infinite-dimensional linear systems
    Opmeer, MR
    Curtain, RF
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2004, 43 (04) : 1196 - 1221
  • [4] Realization theory of discrete-time linear switched systems
    Petreczky, Mihaly
    Bako, Laurent
    van Schuppen, Jan H.
    AUTOMATICA, 2013, 49 (11) : 3337 - 3344
  • [5] ON A REALIZATION METHOD FOR DISCRETE-TIME LINEAR-SYSTEMS
    LAMANNA, R
    PADILLA, R
    AUTOMATICA, 1985, 21 (05) : 611 - 613
  • [6] Multiresolved Control of Discrete-Time Linear Systems Based on Redundant Realization via Wedderburn Rank Reduction
    Ishizaki, Takayuki
    Koike, Masakazu
    Kato, Takuro
    Imura, Jun-ichi
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 4866 - 4871
  • [7] Optimal Linear Filtering for Discrete-Time Systems With Infinite-Dimensional Measurements
    Varley, Maxwell M.
    Molloy, Timothy L.
    Nair, Girish N.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2025, 70 (03) : 1637 - 1651
  • [8] Discrete-Time Kalman Filter Design for Linear Infinite-Dimensional Systems
    Xie, Junyao
    Dubljevic, Stevan
    PROCESSES, 2019, 7 (07) : 1 - 24
  • [9] Kalman Filtering for Discrete-Time Linear Systems with Infinite-Dimensional Observations
    Varley, Maxwell M.
    Molloy, Timothy L.
    Nair, Girish N.
    2022 AMERICAN CONTROL CONFERENCE, ACC, 2022, : 296 - 303
  • [10] Linear fractional transformations and balanced realization of discrete-time stable all-pass systems
    Peeters, RLM
    Hanzon, B
    Olivi, M
    SYSTEM STRUCTURE AND CONTROL 2001, VOLS 1 AND 2, 2001, : 339 - 344