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Stability Analysis for Singular Discrete Linear Largescale Systems(PDF)

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

Issue:
2003年04期
Page:
409-413
Research Field:
Publishing date:

Info

Title:
Stability Analysis for Singular Discrete Linear Largescale Systems
Author(s):
WoSonglin ZouYun
Department of Automation,NUST,Nanjing 210094
Keywords:
singular discrete system large-scale system Lyapunov function stability interconnect ing parameter regions
PACS:
TP13
DOI:
-
Abstract:
The stability for singular large-scale system is an important issue. The is stability diff-i cult to be studied because singular large-scale system is a very complicated one. It is also worthy issue for the relation between the stable subsystem and stable linear large-scale system. This paper analyzes the singular discrete linear large-scale system by equivalent transformation method, equivalent system and scalar sum Lyapunov function. The interconnecting parameter regions of asymptot ic stability and unstability for singular discrete linear large-scale system are obtained.

References:

1 Michel A N, Miller R K. Qualitative analysis of large- scale dynamical systems[M] . London: Academic Press, 1977.
2 Siljak D D. Large- scale dynamical systems: stability and structure [M] . New York: North-Holland,1978.
3 Jamshidi M. Large- scale dynamical systems: modeling and control [M] . New York: North-Holland,1983.
4 刘永请, 宋中宽. 大型动力系统的理论与应用[M] . 广州: 华南工学院出版社, 1988.
5 Rosenbrock H H. Structural properties of linear dynamical systems [ J] . Int J Control, 1974, 20( 2) :191~ 202.
6 张庆灵, 戴冠中. 有穷固定模的确定与消除[ J] . 控制理论与应用, 1997, 14( 3) : 407~ 410.
7 王朝珠, 王恩平. 广义分散控制系统的无穷远固定模[ J] . 系统科学与数学, 1988, 8( 2) : 142~150.
8 张庆灵, 胡仰曾. 广义分散控制系统的结构脉冲固定模[ J] . 系统科学与数学, 1993, 13( 2) : 97~ 101.
9 Compbell S L. Singular systems of differential equation[M] . Sanfancisco: Pitman Advanced Publishing,1982.
10 Chen Chaotian, Liu Yongqing. Stability of large-scale linear singular dynamical systems and its interconnecting parameters regions [ J] . Journal of South University Technology ( Natural Science) , 1996,24( 5) : 51~ 56.
11 Chen Chaotian, Liu Yongqing. Stability of large- scale nonlinear singular dynamical systems and its interconnecting parameters regions [ J] . Advances inModeling & Analysis C: Systems Analysis, Control& Design Simulation, CAD, 1999, 53( 1) : 39~ 47.
12 Chen Chaotian, Liu Yongqing. Structural stability and its perturbation parameter region of singular linear system [ J] . Advances in Modeling& Analysis C: Systems Analysis, Control & Design Simulation,CAD, 1999, 53( 1) : 28~ 38.
13 张庆灵, 戴冠中, 徐心和, 等. 离散广义系统稳定性分析与控制的Lyapunov 方法[ J] . 自动化学报, 1998, 24( 5) : 622~ 629.

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Last Update: 2013-03-17