Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control

This paper studies a second-order non-autonomous semilinear stochastic differential equation with several constant point delays in control. We prove the mild solution’s existence and uniqueness using the semigroup theory of bounded linear operators, evolution family, stochastic analysis techniques,...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2022-02, Vol.155, p.111763, Article 111763
Main Authors: Afreen, A., Raheem, A., Khatoon, A.
Format: Article
Language:English
Subjects:
Control delay
Controllability
Non-autonomous
Optimal control
Semilinear
Stochastic system
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Summary:This paper studies a second-order non-autonomous semilinear stochastic differential equation with several constant point delays in control. We prove the mild solution’s existence and uniqueness using the semigroup theory of bounded linear operators, evolution family, stochastic analysis techniques, and Banach contraction principle. Our goal is to discuss various types of controllability of the stochastic semilinear system with the associated linear system. In the end, an example is included as an application to demonstrate the result.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2021.111763