POSITIVE 2D DISCRETE-TIME LINEAR LYAPUNOV SYSTEMS

被引：7
作者：
Przyborowski, Przemyslaw [1 ]
Kaczorek, Tadeusz [1 ]
机构：
[1] Warsaw Univ Technol, Inst Control & Ind Elect, PL-00662 Warsaw, Poland
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2009年 / 19卷 / 01期
关键词：
positivity; Lyapunov systems; reachability; observability; STATE-SPACE MODEL;
D O I：
10.2478/v10006-009-0009-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.
引用
收藏
页码：95 / 105
页数：11
相关论文
共 49 条
  • [1] Bose N.K., 1982, APPL MULTIDIMENSIONA
  • [2] Bose N.K., 2003, Multidimensional systems theory and applications
  • [3] BUSLOWICZ M, 2006, P 12 IEEE INT C METH
  • [4] Farina L., 2000, PUR AP M-WI, DOI 10.1002/9781118033029
  • [5] STATE-SPACE REALIZATION THEORY OF 2-DIMENSIONAL FILTERS
    FORNASINI, E
    MARCHESINI, G
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) : 484 - 492
  • [6] DOUBLY-INDEXED DYNAMICAL-SYSTEMS - STATE-SPACE MODELS AND STRUCTURAL-PROPERTIES
    FORNASINI, E
    MARCHESINI, G
    [J]. MATHEMATICAL SYSTEMS THEORY, 1978, 12 (01): : 59 - 72
  • [7] Galkowski K., 2001, STATE SPACE REALIZAT
  • [8] Kaczorek T., 1996, Bulletin of the Polish Academy of Sciences, Technical Sciences, V44, P405
  • [9] Kaczorek T., 2003, Systems Science, V29, P15
  • [10] Kaczorek T, 2005, CONTROL CYBERN, V34, P411
12345