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Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2

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  • Zhi Li
  • Yuan Yuan Jing
  • Liping Xu

Abstract

In this paper, we investigate the controllability for a class of neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter $H\in (0,1/2) $H∈(0,1/2) in a Hilbert space. By using the stochastic analysis of fractional Brown motion with Hurst parameter $H\in (0,1/2) $H∈(0,1/2), the properties of operator semigroup and the Banach fixed point theorem, the sufficient conditions for the controllability of the considered equations are obtained. In the end, one example is given to illustrate the feasibility and effectiveness of the obtained results.

Suggested Citation

  • Zhi Li & Yuan Yuan Jing & Liping Xu, 2019. "Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(9), pages 1835-1846, July.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1835-1846
    DOI: 10.1080/00207721.2019.1645231
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    Cited by:

    1. Xu, Xiao & Wang, Li & Du, Zhenbin & Kao, Yonggui, 2023. "H∞ Sampled-Data Control for Uncertain Fuzzy Systems under Markovian Jump and FBm," Applied Mathematics and Computation, Elsevier, vol. 451(C).

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