Approximate Controllability for a Semilinear Evolution System with Infinite Delay

被引：24
|
作者：
Mokkedem, Fatima Zahra [1 ]
Fu, Xianlong [1 ]
机构：
[1] E China Normal Univ, Shanghai Key Lab PMMP, Dept Math, Shanghai 200241, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2016年 / 22卷 / 01期
关键词：
Approximate controllability; Fundamental solution; Resolvent condition; Infinite delay; Fractional power operator; FUNCTIONAL-DIFFERENTIAL EQUATIONS; STOCHASTIC-SYSTEMS; UNBOUNDED DELAY; EXISTENCE; STABILITY; MEMORY;
D O I：
10.1007/s10883-014-9252-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, we study the approximate controllability for a class of control systems governed by semilinear equations with infinite delay in Hilbert spaces. Sufficient conditions for approximate controllability are established by constructing fundamental solution and using resolvent condition and techniques on fractional power operators. As an illustration of the application of the obtained results, an example is also provided.
引用
收藏
页码：71 / 89
页数：19
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