[1]刘锋,史国栋.广义系统反馈稳定性问题的一种算法[J].南京理工大学学报(自然科学版),2011,(04):459-462.
 LIU Feng,SHI Guo-dong.Algorithm for Feedback Stability of Singular System[J].Journal of Nanjing University of Science and Technology,2011,(04):459-462.
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广义系统反馈稳定性问题的一种算法
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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:
2011年04期
页码:
459-462
栏目:
出版日期:
2011-08-31

文章信息/Info

Title:
Algorithm for Feedback Stability of Singular System
作者:
刘锋1史国栋2
1. 江苏技术师范学院数理学院,江苏常州213001; 2. 常州大学信息科学与工程学院,江苏常州213164
Author(s):
LIU Feng1SHI Guo-dong2
1. School of Mathematics and Physics, Jiangsu Teachers University of Technology,Changzhou 213001,China; 2. School of Information Science and Engineering,Changzhou University,Changzhou 213164,China
关键词:
广义系统 反馈稳定性 亚负定矩阵 广义左逆
Keywords:
singular system feedback stability sub-negative definite matrix generalized left inverse
分类号:
TP13; O175
摘要:
针对广义系统的反馈稳定性问题,该文应用亚负定矩阵、矩阵的广义左逆等给出了广义 系统反馈稳定性问题的一种算法。引入状态反馈律得到广义系统的闭环系统; 求出该闭环系统 的解; 令闭环系统的解的指数部分的矩阵等于某一亚负定矩阵,即可求出使广义系统稳定的反 馈矩阵。最后给出算例说明所给方法的应用。
Abstract:
Aiming at the problem of the feedback stability of a singular system, this paper gives an algorithm to solve this problem by using sub-negative definite matrix and generalized left inverse of matrix. The closed loop system of singular system is obtained by introducing the state feedback law; the solution of the closed loop system is obtained; the matrix in exponent of the solution of the closed loop system is let equal to a sub-negative definite matrix, then the feedback matrix which makes the singular system stable can be obtained. An example is given for the application of the method.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 60674018) ; 江苏省高校自然科学研究计划项目( 05KJD110058) 作者简介: 刘锋( 1965-) ,男,教授,主要研究方向: 广义系统,E-mail: liufeng200099@ vip. sina. com。
更新日期/Last Update: 2012-10-23