On partial approximate controllability of semilinear systems

被引：27

作者：

Bashirov, Agamirza E. ^{[1
,2
]}

Ghahramanlou, Noushin ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, Mersin 10, Mersin, Turkey

[2] ANAS, Inst Cybernet, Baku, Azerbaijan

来源：

COGENT ENGINEERING | 2014年 / 1卷 / 01期

关键词：

approximate controllability; exact controllability; partial controllability; semilinear system;

D O I：

10.1080/23311916.2014.965947

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a sufficient condition for the partial approximate controllability of semilinear deterministic control systems is proved. Generally, the theorems on controllability are formulated for control systems given as a first-order differential equation, while many systems can be written in this form only by enlarging the dimension of the state space. The ordinary controllability conditions for such systems are too strong because they involve the enlarged state space. Therefore, it becomes useful to define partial controllability concepts, which assume the original state space. The method of proof, given in this paper, differs from the traditional proofs by fixed point theorems. The obtained result is demonstrated on examples.

引用

页数：12

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