Approximate controllability of neutral stochastic integro-differential equations with state-dependent delay

被引:0
作者
Li, Meili [1 ]
Huang, Mingcui [1 ]
Liu, Man [1 ]
机构
[1] Donghua Univ, Sch Sci, Shanghai 201620, Peoples R China
关键词
Approximate Controllability; Neutral Stochastic Integro-Differential Equations; State-Dependent Delay; Fractional Power; Resolvent Operator;
D O I
10.1166/jcsmd.2016.1101
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The controllability of neutral stochastic integro-differential equations is an important and difficult topic in control theory. In this paper, we study the approximate controllability of neutral stochastic integro-differential equations with state-dependent delay in an abstract space. Sufficient conditions are established for approximate controllability. The results are obtained by using the theory of analytic resolvent operator, the fractional power theory and the fixed point theory of Schauder. An example is provided to illustrate the applications of the obtained results.
引用
收藏
页码:119 / 128
页数:10
相关论文
共 35 条
[1]   Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay [J].
Arthi, G. ;
Park, Ju H. ;
Jung, H. Y. .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 :328-341
[2]  
Bainov D., 1993, PITMAN MONOGRAPHS SU, DOI [DOI 10.1201/9780203751206, 10.1016/j.automatica.2014.11.009, DOI 10.1016/J.AUTOMATICA.2014.11.009]
[3]  
Bainov D. D., 1994, IMPULSIVE DIFFERENTI
[4]  
Balachandran K, 2007, KYBERNETIKA, V43, P31
[5]   On concepts of controllability for deterministic and stochastic systems [J].
Bashirov, AE ;
Mahmudov, NI .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1999, 37 (06) :1808-1821
[6]  
Bensoussan A., 2006, LECT STOCHASTIC CONT
[7]   Existence results for fractional neutral integro-differential equations with state-dependent delay [J].
Carvalho dos Santos, Jose Paulo ;
Arjunan, M. Mallika ;
Cuevas, Claudio .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1275-1283
[8]  
Curtain RF., 1995, INTRO INFINITE DIMEN
[9]  
EZZINBI K, 2011, AFR DIASPORA J MATH, V12, P34
[10]   Existence and regularity of solutions for neutral partial functional integrodifferential equations with infinite delay [J].
Ezzinbi, Khalil ;
Ghnimi, Saifeddine ;
Taoudi, Mohamed Aziz .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) :54-64