IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v155y2022ics0960077921011176.html
   My bibliography  Save this article

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

Author

Listed:
  • Afreen, A.
  • Raheem, A.
  • Khatoon, A.

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.

Suggested Citation

  • Afreen, A. & Raheem, A. & Khatoon, A., 2022. "Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
  • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011176
    DOI: 10.1016/j.chaos.2021.111763
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921011176
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2021.111763?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. L. W. Wang, 2009. "Approximate Controllability for Integrodifferential Equations with Multiple Delays," Journal of Optimization Theory and Applications, Springer, vol. 143(1), pages 185-206, October.
    2. Arora, Urvashi & Sukavanam, N., 2015. "Approximate controllability of second order semilinear stochastic system with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 111-119.
    3. Agata Grudzka & Krzysztof Rykaczewski, 2015. "On Approximate Controllability of Functional Impulsive Evolution Inclusions in a Hilbert Space," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 414-439, August.
    4. Jerzy Klamka, 2020. "Controllability of Semilinear Systems with Multiple Variable Delays in Control," Mathematics, MDPI, vol. 8(11), pages 1-9, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chen, Weihao & Liu, Yansheng & Zhao, Daliang, 2024. "Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Ahmed, Hamdy M., 2022. "Construction controllability for conformable fractional stochastic evolution system with noninstantaneous impulse and nonlocal condition," Statistics & Probability Letters, Elsevier, vol. 190(C).
    3. Haq, Abdul & Sukavanam, N., 2022. "Existence and partial approximate controllability of nonlinear Riemann–Liouville fractional systems of higher order," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    4. Raheem, A. & Afreen, A. & Khatoon, A., 2023. "Multi-term time-fractional stochastic system with multiple delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. Ahmed, Hamdy M. & Zhu, Quanxin, 2023. "Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise," Statistics & Probability Letters, Elsevier, vol. 195(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jiale Sheng & Wei Jiang & Denghao Pang & Sen Wang, 2020. "Controllability of Nonlinear Fractional Dynamical Systems with a Mittag–Leffler Kernel," Mathematics, MDPI, vol. 8(12), pages 1-10, December.
    2. N. Sukavanam & Surendra Kumar, 2011. "Approximate Controllability of Fractional Order Semilinear Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 151(2), pages 373-384, November.
    3. Haq, Abdul & Sukavanam, N., 2020. "Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    4. Hammad, Hasanen A. & Alshehri, Maryam G., 2024. "Application of the Mittag-Leffler kernel in stochastic differential systems for approximating the controllability of nonlocal fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    5. Lakshmi Priya, P.K. & Kaliraj, K., 2022. "An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    6. Lu, Liang & Liu, Zhenhai & Bin, Maojun, 2016. "Approximate controllability for stochastic evolution inclusions of Clarke’s subdifferential type," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 201-212.
    7. Raheem, A. & Afreen, A. & Khatoon, A., 2023. "Multi-term time-fractional stochastic system with multiple delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    8. Jiang, Feng & Yang, Hua & Shen, Yi, 2016. "A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses," Applied Mathematics and Computation, Elsevier, vol. 287, pages 125-133.
    9. Sumit Arora & Manil T. Mohan & Jaydev Dabas, 2023. "Finite-Approximate Controllability of Impulsive Fractional Functional Evolution Equations of Order $$1," Journal of Optimization Theory and Applications, Springer, vol. 197(3), pages 855-890, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921011176. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.