Controllability for Time-dependent Neutral Stochastic Functional Differential Equations with Rosenblatt Process and Impulses

被引：0
|
作者：
El Hassan Lakhel
M. A. McKibben
机构：
[1] National School of Applied Sciences,Cadi Ayyad University
[2] West Chester University of Pennsylvania,Department of Mathematics
来源：
International Journal of Control, Automation and Systems | 2019年 / 17卷
关键词：
Controllability; evolution operator; neutral stochastic differential equations; Rosenblatt process;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider the controllability of certain class of non-autonomous impulsive neutral evolution stochastic functional differential equations, with time varying delays, driven by a Rosenblatt process, in a Hilbert space. Sufficient conditions for controllability are obtained by employing a fixed point approach. A practical example is provided to illustrate the viability of the abstract result of this work.
引用
收藏
页码：286 / 297
页数：11
相关论文
共 50 条
  • [31] Stability of stochastic functional differential equations with impulses
    Kuang, Hongyu
    Li, Jianli
    [J]. APPLIED MATHEMATICS LETTERS, 2023, 145
  • [32] Controllability and stability of fractional stochastic functional systems driven by Rosenblatt process
    Guangjun Shen
    R. Sakthivel
    Yong Ren
    Mengyu Li
    [J]. Collectanea Mathematica, 2020, 71 : 63 - 82
  • [33] Stochastic differential equations with time-dependent reflecting barriers
    Slominski, Leszek
    Wojciechowski, Tomasz
    [J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2013, 85 (01) : 27 - 47
  • [34] Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
    Bensalem, Abdelhamid
    Salim, Abdelkrim
    Benchohra, Mouffak
    Feckan, Michal
    [J]. MATHEMATICS, 2023, 11 (07)
  • [35] Controllability and stability of fractional stochastic functional systems driven by Rosenblatt process
    Shen, Guangjun
    Sakthivel, R.
    Ren, Yong
    Li, Mengyu
    [J]. COLLECTANEA MATHEMATICA, 2020, 71 (01) : 63 - 82
  • [36] Global attracting set and stability of stochastic neutral partial functional differential equations with impulses
    Long, Shujun
    Teng, Lingying
    Xu, Daoyi
    [J]. STATISTICS & PROBABILITY LETTERS, 2012, 82 (09) : 1699 - 1709
  • [37] Periodic averaging theorems for neutral stochastic functional differential equations involving delayed impulses
    Liu, Jiankang
    Xu, Wei
    Guo, Qin
    Wang, Jinbin
    [J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2021, 93 (06) : 907 - 920
  • [38] Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses
    Ding, Nan
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [39] Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses
    Dhayal, Rajesh
    Francisco Gomez-Aguilar, Jose
    Fernandez-Anaya, Guillermo
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2022, 43 (02): : 386 - 401
  • [40] Implicit numerical methods for highly nonlinear neutral stochastic differential equations with time-dependent delay
    Milosevic, Marija
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 741 - 760
12345