[1]陈雪如,邹云,杨成梧.2D奇异离散系统的内部稳定性[J].南京理工大学学报(自然科学版),2000,(02):156-159.
 ChenXueru ZouYun YangChengwu.On the Internal Stability of 2D Singular Discrete Systems[J].Journal of Nanjing University of Science and Technology,2000,(02):156-159.
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2D奇异离散系统的内部稳定性()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2000年02期
页码:
156-159
栏目:
出版日期:
2000-04-30

文章信息/Info

Title:
On the Internal Stability of 2D Singular Discrete Systems
作者:
陈雪如邹云杨成梧
南京理工大学动力工程学院, 南京210094
Author(s):
ChenXueru ZouYun YangChengwu
School of Power Engineering,NUST,Nanjing 210094
关键词:
线性系统 内部 稳定 2D 系统 广义系统
Keywords:
linear systems internal stability 2D systems singular systems
分类号:
O158
摘要:
针对二维奇异线性定常离散系统的一般模型 (简称 2 -DSGM) ,提出内部稳定的概念 ,该定义是对 2 -D正则线性常系数离散状态模型 (简称 2 -DGM )内部稳定性的一个推广。探讨了内部稳定与稳定性检验多项式间的关系 ,给出系统内部稳定的充要条件是稳定性检验多项式不等于零 (当 0 <|z1|≤ 1 ,0 <|z2 |≤1时 )。举例说明稳定性检验法。此检验法也表明 ,同 2 -D正则系统一样 ,2 -DSGM也可以通过它的稳定性检验多项式的根来判断一个已知系统的内部稳定性
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.

参考文献/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

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备注/Memo

备注/Memo:
陈雪如 女 35 岁 博士生
更新日期/Last Update: 2013-03-25