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

A. Afreen, A. Raheem and A. Khatoon

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: 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.

Keywords: Controllability; Non-autonomous; Semilinear; Stochastic system; Control delay; Optimal control (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011176

DOI: 10.1016/j.chaos.2021.111763

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