Controlled and Conditioned Invariance with Stability for Two-Dimensional Systems

被引:0
|
作者
Ntogramatzidis, Lorenzo [1 ]
Cantoni, Michael [2 ]
Yang, Ran [3 ]
机构
[1] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
[2] Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic 3010, Australia
[3] Sun Yat Sen Univ, Sch Informat Sci & Technol, Guangzhou 510275, Guangdong, Peoples R China
基金
中国国家自然科学基金; 澳大利亚研究理事会;
关键词
STATE-SPACE MODELS; 2-D SYSTEMS; FORNASINI-MARCHESINI; GEOMETRIC-THEORY; ROESSER MODEL;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper collects, in a unified way, some recent results on a geometric approach to two-dimensional (2-D) system analysis and synthesis. The concepts of controlled and conditioned invariant subspaces, stabilisability and detect-ability subspaces, and output-nulling and input-containing subspaces, which prove useful in solving various 2-D filtering and decoupling problems, are developed for the Fornasini-Marchesini model in a general form.
引用
收藏
页码:11 / +
页数:2
相关论文
共 50 条
  • [31] Stability Analysis of Two-Dimensional Switched Systems with Unstable Subsystems
    Zhu Liying
    Feng Gang
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1777 - 1782
  • [32] Some new stability conditions for two-dimensional difference systems
    Trinh, H
    Fernando, T
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (02) : 203 - 211
  • [33] Stability of two-dimensional descriptor systems with generalized directional delays
    Le Van Hien
    Le Huy Vu
    Hieu Trinh
    SYSTEMS & CONTROL LETTERS, 2018, 112 : 42 - 50
  • [34] On the Finite-Time Stability of Two-Dimensional Linear Systems
    Amato, F.
    Cesarelli, M.
    Cosentino, C.
    Merola, A.
    Romano, M.
    PROCEEDINGS OF THE 2017 IEEE 14TH INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL (ICNSC 2017), 2017, : 317 - 321
  • [35] Stability of Two-Dimensional Systems Using Single Square Matrix
    Ramesh, P.
    Vasudevan, K.
    ADVANCES IN POWER SYSTEMS AND ENERGY MANAGEMENT, 2018, 436
  • [36] The global stability of two-dimensional systems for controlling angular orientation
    Leonov, GA
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2000, 64 (05): : 855 - 860
  • [37] Wetting controlled phase transitions in two-dimensional systems of colloids
    Gil, T
    Ipsen, JH
    Tejero, CF
    PHYSICAL REVIEW E, 1998, 57 (03): : 3123 - 3133
  • [38] Stability of transonic shock fronts in two-dimensional Euler systems
    Chen, SX
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (01) : 287 - 308
  • [39] STABILITY ASSESSMENT OF TWO-DIMENSIONAL STATE-SPACE SYSTEMS
    FERNANDO, KV
    NICHOLSON, H
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (05): : 484 - 486
  • [40] STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE TWO-DIMENSIONAL SYSTEMS
    ANDERSON, BDO
    AGATHOKLIS, P
    JURY, EI
    MANSOUR, M
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (03): : 261 - 267