Controllability for semilinear retarded control systems in Hilbert spaces

被引：12

作者：

Jeong, Jin-Mun ^{[1
]}

Kim, Jin-Ran ^{[1
]}

Roh, Hyun-Hee ^{[1
]}

机构：

[1] Pukyong Natl Univ, Div Math Sci, Pusan 608737, South Korea

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2007年 / 13卷 / 04期

关键词：

semilinear retarded functional differential equation; existence; regularity; approximate controllability;

D O I：

10.1007/s10883-007-9024-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with well-posedness and L-2-regularity properties for a class of semilinear retarded functional differential equations. A relation between the reachable set of a semilinear system and that of the corresponding linear system is proved. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example is given, to which our main result can be applied.

引用

页码：577 / 591

页数：15

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