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Study of the Stability of a Type of Time-Variant Control Systems(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年04期
Page:
36-40
Research Field:
数学
Publishing date:

Info

Title:
Study of the Stability of a Type of Time-Variant Control Systems
Author(s):
Feng Ning; Zhang Tao
Changzhou Institute of Light Industry Technology,Changzhou 213164,China
Keywords:
tim e-variant contro l system;  Lyapunov function;  absolute stab ility;  asympto tic stability
PACS:
O231
DOI:
-
Abstract:
By using Ly apunov function, the abso lute stab ility of the first standard type of nonlinea r time -v ariant contro l system s and the asym ptotic stability o f the second standa rd type o f non linear time-var iant contro l system, genera l nonlinear time-var iant con tro l systems and time-var iant large-scale sy stem s are studied, and som e sufficient criter ions are achieved. These c riter ia are just concerned w ith the param e ters o f itse l.f

References:

[ 1] Ba iley F N. The applica tion o f Lyapunov’s second m ethod to interconnected system [ J]. J SLAM Con tro l Ser A, 1965,3( 3): 443-462.
[ 2] 彭晓林. 一类拟线性大系统的稳定性[ J]. 新疆大学学报: 自然科学版, 1991, 8( 1): 41-45.
[ 3] 廖晓昕. 稳定性的理论、方法和应用[M ]. 武汉: 华中理工大学出版社, 1999.
[ 4] 廖晓昕. 关于控制系统的绝对稳定性准则[ J] . 应用数学和力学, 1982, 3( 2): 235-248.
[ 5] 王莉, 章毅. 控制系统的绝对稳定性[ J]. 电子科技大学学报, 1997, 26( 3): 308-313

Memo

Memo:
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Last Update: 2013-05-05