典型文献
Some problems of linear differential equations on abstract spaces and unbounded perturbations of linear operator semigroup
文献摘要：
This paper is a survey for development of linear distributed param-eter system.At first we point out some questions existing in current study of control theory for the Lp linear system with an unbounded control operator and an unbounded observation operator,such as stabilization problem and observer theory that are closely relevant to state feedback operator.After then we survey briefly some results on relevant problems that are related to solvability of linear differential equations in general Banach space and semigroup perturbations.As a principle,we propose a concept of admissible state feedback operator for system(A,B).Finally we give an existence result of admissible state feed-back operators,including semigroup generation and the equivalent conditions of admissibility of state feedback operators,for an Lp well-posed system.
文献关键词：
中图分类号：
作者姓名：
Genqi XU
作者机构：
School of Mathematical Sciences,Tianjin University,Tianjin 300350,China
文献出处：
引用格式：
[1]Genqi XU-.Some problems of linear differential equations on abstract spaces and unbounded perturbations of linear operator semigroup)[J].中国数学前沿,2022(01):47-77
A类：
admissibility
B类：
Some,problems,linear,differential,equations,abstract,spaces,unbounded,perturbations,semigroup,This,paper,survey,development,distributed,param,eter,system,At,first,point,out,some,questions,existing,current,study,control,theory,Lp,observation,such,as,stabilization,observer,that,are,closely,relevant,state,feedback,After,then,briefly,results,related,solvability,general,Banach,principle,propose,concept,admissible,Finally,give,existence,operators,including,generation,equivalent,conditions,well,posed
AB值：
0.509652
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