Small-controllability of a Class of Two-dimensional Discrete-time Bilinear Systems

被引：0
|
作者：
Lin, Tie [1 ]
机构：
[1] Beihang Univ, Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
来源：
PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016 | 2016年
关键词：
Discrete-time bilinear systems; Controllability; Small-controllability; HAMMERSTEIN-NONLINEAR 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：
In this paper, we study small-controllability of a class of two-dimensional discrete-time bilinear systems. Necessary as well as sufficient conditions for small-controllability of the systems are presented. It is shown that the case with complex eigenvalues is important for proving small-controllability, while the case with only real eigenvalues is difficult to deal with. We also raise the small-controllability problem for the continuous-time counterparts of the systems.
引用
收藏
页码：298 / 301
页数：4
相关论文
共 50 条
  • [41] Stability Analysis for Discrete-Time Two-Dimensional Switched Systems
    Rongni Yang
    Ligang Wu
    Peng Shi
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1588 - 1593
  • [42] On Near-controllability of a Discrete-time Bilinear System
    Tie, Lin
    Lin, Yan
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 3068 - 3073
  • [43] Networked Predictive Control of Discrete-time Two-dimensional Systems
    Ding, Shufen
    Yang, Rongni
    PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 4406 - 4411
  • [44] Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces
    Alami Louati, Driss
    Ouzahra, Mohamed
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (09) : 2491 - 2495
  • [45] Controllability of a Class of Bimodal Discrete-Time Piecewise Linear Systems
    Yurtseven, E.
    Camlibel, M. K.
    Heemels, W. P. M. H.
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 1663 - 1668
  • [46] Controllability of a class of bimodal discrete-time piecewise linear systems
    Yurtseven, E.
    Camlibel, M. K.
    Heemels, W. P. M. H.
    SYSTEMS & CONTROL LETTERS, 2013, 62 (04) : 338 - 344
  • [47] A root locus approach to near-controllability of a class of discrete-time bilinear systems with applications to Hermitian matrices
    Tie, Lin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (03): : 1810 - 1821
  • [48] Further Results on Small-controllability of a Class of Hammerstein-nonlinear Systems
    Tie Lin
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2570 - 2573
  • [49] Algebraic Criteria on Controllability and Positive-Controllability of Discrete-Time Bilinear Systems: Seeking Nonzero Entries
    Tie, Lin
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (04) : 1744 - 1759
  • [50] On Near-controllability of Discrete-time Bilinear Systems Using a Minimum-time Control
    Tie, Lin
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 4484 - 4489
12345