Stability of a Class of 2D Linear Systems with Smoothing

被引:2
|
作者
Cichy, Blazej [1 ]
Galkowski, Krzysztof [1 ]
Rogers, Eric [2 ]
Kummert, Anton [3 ]
机构
[1] Univ Zielona Gora, Inst Control & Computat Engn, Ul Podgorna 50, PL-65246 Zielona Gora, Poland
[2] Univ Southampton, Sch Elect & Comp Engn, Southampton SO17 1BJ, Hants, England
[3] Univ Wuppertal, Fac Elect, Informat Media Engn Commun Theory, D-42119 Wuppertal, Germany
关键词
Stability analysis; Robustness; Repetitive processes; Linear Matrix Inequality; MODELS;
D O I
10.1109/ICIEA.2009.5138168
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Repetitive processes are a distinct class of two-dimensional (2D) systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or (often) 2D systems theory. In this paper we begin the development a systems theory for a model of these processes necessary to represent terms which arise in some applications areas but are not included in the currently used models.
引用
下载
收藏
页码:47 / +
页数:2
相关论文
共 50 条
  • [1] Strong practical stability for a class of 2D linear systems
    Galkowski, K
    Rogers, E
    Gramacki, A
    Gramacki, J
    Owens, D
    ISCAS 2000: IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - PROCEEDINGS, VOL I: EMERGING TECHNOLOGIES FOR THE 21ST CENTURY, 2000, : 403 - 406
  • [2] Stability theory for a class of 2D linear systems with dynamic boundary conditions
    Rogers, E
    Gramacki, J
    Galkowski, K
    Owens, DH
    PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 2800 - 2805
  • [3] Lyapunov stability theory and performance bounds for a class of 2D linear systems
    Rogers, E
    Owens, DH
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1996, 7 (02) : 179 - 194
  • [4] On the poles of a class of 2D linear systems
    Rogers, E
    Wood, J
    Owens, DH
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 5002 - 5003
  • [5] STABILITY-TESTS AND PERFORMANCE BOUNDS FOR A CLASS OF 2D LINEAR-SYSTEMS
    ROGERS, E
    OWENS, DH
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1993, 4 (04) : 355 - 391
  • [6] Boundary conditions and the stability of a class of 2D continuous-discrete linear systems
    Owens, DH
    Rogers, E
    ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, : 2076 - 2081
  • [7] Asymptotic Stability and Attractivity for 2D Linear Systems
    Bachelier, Olivier
    David, Ronan
    Yeganefar, Nader
    Yeganefar, Nima
    2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 2290 - 2293
  • [8] LMI based stability analysis and controller design for a class of 2D discrete linear systems
    Rogers, E
    Lam, J
    Galkowski, K
    Xu, S
    Wood, J
    Owens, DH
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 4457 - 4462
  • [9] 1D controllers for a class of 2D linear systems
    Benton, SE
    Rogers, E
    Owens, DH
    SYSTEM STRUCTURE AND CONTROL 1998 (SSC'98), VOLS 1 AND 2, 1998, : 305 - 310
  • [10] Development of a MATLAB toolbox for a class of 2D linear systems
    Galkowski, Krzysztof
    Rogers, Eric
    Gramacki, Artur
    Gramacki, Jaroslaw
    Owens, David H.
    Systems Analysis Modelling Simulation, 2000, 38 (02): : 313 - 324