Banach空间中的连续时间稳定性的几个定理  

Some Stability Theorems of Continuous System in Banach Space

作　　者：李允[1] 朱尚伟[2] 

机构地区：[1]黑龙江商学院,哈尔滨150076 [2]山西财经学院,太原030012

出　　处：《黑龙江大学自然科学学报》1997年第2期30-31,共2页Journal of Natural Science of Heilongjiang University

摘　　要：讨论Banach空间中齐次线性大的稳定性问题，这里A是某个C0类算子半群的无穷小生成元。考察系统在由图象范数所定义的Banach空间D（An）上的限制与原有系统的各种稳定性之间的关系，给出弱稳定性蕴含强稳定性的条件。The authors discuss the stability proplem of of bomogenecus,linear system in Banach space, in which A is infinite small genrator of one of operators sendgroup. Condition of strong stability in weak stability is given, by the relations between restraction of D(An) of Banach space defined by grapy norm and every stability of origial system.

关 键 词：线性系统 稳定性 巴拿赫空间 连续时间系统 

分 类 号：O175.15[理学—数学]