Approximate controllability for semilinear retarded control equations using surjectivity results

被引：1
作者：
Kim, Daewook [1 ]
Jeong, Jin-Mun [2 ]
Cho, Seong Ho [2 ]
机构：
[1] Seowon Univ, Dept Math Educ, Chungbuk, South Korea
[2] Pukyong Natl Univ, Dept Appl Math, Busan, South Korea
来源：
SYSTEMS & CONTROL LETTERS | 2019年 / 131卷
基金：
新加坡国家研究基金会;
关键词：
Approximate controllability; Semilinear control equations; Retarded control equations; Controller; Surjectivity result; SYSTEMS;
D O I：
10.1016/j.sysconle.2019.104496
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Sufficient conditions for approximate controllability of semilinear retarded functional control equations are obtained under general conditions on nonlinear terms. To get the main result, we transform the controllability problem into surjectivity results similar to Fredholm alternative for nonlinear operators under restrictive assumptions. Finally, a simple example to which our main result can be applied is given. (C) 2019 Elsevier B.V. All rights reserved.
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页数：6
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