Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay
Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay作者机构:School of Mathematical SciencesFudan UniversityShanghai 200433China School of Mathematical SciencesShanghai Key Laboratory of PMMPEast China Normal UniversityShanghai200241China
出 版 物:《Acta Mathematicae Applicatae Sinica》 (应用数学学报(英文版))
年 卷 期:2021年第37卷第3期
页 面:573-589页
核心收录:
学科分类:0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术(可授工学、理学学位)]
基 金:by National Science Foundation of China(Nos.11671142 and 11771075) Science and Technology Commission of Shanghai Municipality(STCSM)(grant No.18dz2271000)
主 题:approximate controllability second-order evolution equation fundamental solution cosine operator
摘 要:In this work,we study the approximate controllability for a class of semilinear second-order control systems with finite *** conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear *** illustrate the applications of the obtained results,an example is provided in the end.