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.
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.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2012年第3期27-30,共4页
Journal of Northeast Normal University(Natural Science Edition)
基金
教育部博士点基金资助项目(20090061110001)
关键词
强稳定
时变线性系统
互素因子分解
strong stabilization； time-varying linear systems； coprime factorizations
