Controllability of retarded time-dependent neutral stochastic integro-differential systems driven by fractional Brownian motion

IF 1.3 4区数学 Q1 MATHEMATICS

Evolution Equations and Control Theory Pub Date : 2022-01-01 DOI:10.3934/eect.2022031

Youssef Benkabdi, E. Lakhel

引用次数: 1

Abstract

In this manuscript the controllability for a class of time-dependent neutral stochastic integro-differential systems driven by fractional Brownian motion in a separable Hilbert space with delay is studied. The controllability result is obtained by using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained result.

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分数布朗运动驱动的时滞时变中性随机积分微分系统的可控性

本文研究了时滞可分Hilbert空间中分数布朗运动驱动的一类时变中立型随机积分-微分系统的可控性。利用随机分析和不动点策略得到了系统的可控性。最后，通过算例验证了所得结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Evolution Equations and Control Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.10

自引率

6.70%

发文量

期刊介绍： EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE''s and FDEs. Topics include: * Modeling of physical systems as infinite-dimensional processes * Direct problems such as existence, regularity and well-posedness * Stability, long-time behavior and associated dynamical attractors * Indirect problems such as exact controllability, reachability theory and inverse problems * Optimization - including shape optimization - optimal control, game theory and calculus of variations * Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s) * Applications of the theory to physics, chemistry, engineering, economics, medicine and biology