| 求解强稳定化问题的一种新方法 |
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| 引用本文： | 谢嘉宁,王瑞廷.求解强稳定化问题的一种新方法[J].东北师大学报(自然科学版),2012,44(3):27-30. |
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| 作者姓名： | 谢嘉宁 王瑞廷 |
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| 作者单位： | 1. 东北财经大学数学与数量经济学院,辽宁大连,116200
2. 吉林大学数学学院,吉林长春,130012 |
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| 基金项目： | 教育部博士点基金资助项目(20090061110001) |
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| 摘 要： | 主要考虑了套代数框架下时变线性系统的强稳定化问题.对于给定的离散线性时变系统,即系统是下三角的无穷维矩阵,借助双互素因子分解,给出了系统可强稳定化的一个新的充要条件.特别是该充要条件对线性时不变系统的强稳定化也是成立的.
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| 关 键 词： | 强稳定 时变线性系统 互素因子分解 |
A new method of strong stabilization |
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| XIE Jia-ning
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WANG Rui-ting.A new method of strong stabilization[J].Journal of Northeast Normal University (Natural Science Edition),2012,44(3):27-30. |
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| Authors: | XIE Jia-ning WANG Rui-ting |
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| Institution: | 1.School of Mathematics and Quantitative Economics,Dongbei University of Finance and Economics,Dalian 116200,China; 2.Institute of Mathematics,Jilin University,Changchun 130012,China) |
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| Abstract: | This paper deals with the strong stabilization problem for time-varying linear systems within the framework of nest algebras.Given a discrete time-varying linear system,using doubly coprime factorizations,we give a new necessary and sufficient condition for the existence of strongly stabilizing controllers.In particular,this condition holds for linear time-invariant systems. |
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| Keywords: | strong stabilization time-varying linear systems coprime factorizations |
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