Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay  

作　　者：Xiao-feng SU Xian-long FU 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China [2]School of Mathematical Sciences,Shanghai Key Laboratory of PMMP,East China Normal University,Shanghai,200241,China

出　　处：《Acta Mathematicae Applicatae Sinica》2021年第3期573-589,共17页应用数学学报（英文版）

基　　金：by National Science Foundation of China(Nos.11671142 and 11771075);Science and Technology Commission of Shanghai Municipality(STCSM)(grant No.18dz2271000).

摘　　要：In this work,we study the approximate controllability for a class of semilinear second-order control systems with finite delay.Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators.To illustrate the applications of the obtained results,an example is provided in the end.

关 键 词：approximate controllability second-order evolution equation fundamental solution cosine operator 

分 类 号：O231[理学—运筹学与控制论]