|Table of Contents|

On the Internal Stability of 2D Singular Discrete Systems(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2000年02期
Page:
156-159
Research Field:
Publishing date:

Info

Title:
On the Internal Stability of 2D Singular Discrete Systems
Author(s):
ChenXueru ZouYun YangChengwu
School of Power Engineering,NUST,Nanjing 210094
Keywords:
linear systems internal stability 2D systems singular systems
PACS:
O158
DOI:
-
Abstract:
This paper proposed a new definit ion of internal stability for singular tw o-dimensional linear discrete state-space general models( 2D SGM) . T his definit ion generalized the concept of internal stability for regular 2D GM. The relationship between the internal stability and stability test polynomial is discussed. It is given that a suf ficient and necessary condition of internal stability of the system under consideration is that stability test polynomial isn. t equal to zero w hen 0 < | z 1 |≤ 1, 0 < | z 2 | ≤1. An ex ample is given to explain the stability test method. This test method also show s that the roots of stability test polynomial for 2D SGM can also be used to test internal stability of a know n system just like 2D GM.

References:

1 杜春玲. 2- D 奇异系统分析和综合: [ 学位论文]1 南京: 南京理工大学动力工程学院, 1997
2 杨成梧, 邹云.2- D 线性离散系统. 北京: 国防工业出版社, 1995
3 Kaczor ek T. General formula and minimum energ y control for the general singular model of 2- D system. IEEE Trans Autom Contr ol, 1990, 35( 4) : 433~ 436
4 杜春玲, 杨成梧12- D 奇异系统无穷远极点与状态响应公式. 自动化学报, 1997, 23( 6) : 827~ 830
5 杨成梧, 孙建中, 邹云. 一般2- D 线性常系数离散状态空间模型渐近稳定性的一类Lyapunov方法. 控制理论与应用, 1993, 10( 1) : 87~ 92
6 张金水. 广义系统经济控制论.北京: 清华大学出版社, 1990
7 杨成梧, 陈雪如12- D 离散系统的观测器. 自动化学报, 1991, 17( 5) : 601~ 605

Memo

Memo:
-
Last Update: 2013-03-25