IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v192y2022icp291-302.html
   My bibliography  Save this article

Non-fragile control design for stochastic Markov jump system with multiple delays and cyber attacks

Author

Listed:
  • Divya, H.
  • Sakthivel, R.
  • Karthick, S.A.
  • Aouiti, C.

Abstract

This study inspects the stabilization problem for a class of stochastic Markovian jump systems with multiple delays and cyber attacks by using a non-fragile control law. Notably, the multiple delays which contain both discrete time-varying delays and distributed delays in a single framework. To be precise, non-fragile controller is designed with the intention to handle the issues of gain fluctuations in the control components. In addition to that, the cyber attack scheme is vulnerable to the adversary, which transmits the malicious information to the control signals in an insecure network. The foremost target in this study is to frame a non-fragile control protocol for the addressed stochastic Markov jump systems to authenticate the stochastic stability under the influence of cyber attack. By adopting Lyapunov–Krasovskii functional, a series of adequate criteria is procured in the configuration of linear matrix inequalities to assure the stochastic stability of the addressed Markov jump systems. Based on this criterion, the design procedure for non-fragile controller gains is systematically computed. Ultimately, two numerical examples are used to verify the validity and usefulness of the proposed controller design.

Suggested Citation

  • Divya, H. & Sakthivel, R. & Karthick, S.A. & Aouiti, C., 2022. "Non-fragile control design for stochastic Markov jump system with multiple delays and cyber attacks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 291-302.
    • Handle: RePEc:eee:matcom:v:192:y:2022:i:c:p:291-302
    DOI: 10.1016/j.matcom.2021.09.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475421003165
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2021.09.001?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. Zhuang, Guangming & Xu, Shengyuan & Xia, Jianwei & Ma, Qian & Zhang, Zhengqiang, 2019. "Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 21-32.
    2. Li, Min & Huang, Qinzhen, 2019. "Non-fragile passive control for Markovian jump systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    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. Li, Qiang & Liang, Jinling & Gong, Weiqiang & Wang, Kai & Wang, Jinling, 2024. "Nonfragile state estimation for semi-Markovian switching CVNs with general uncertain transition rates: An event-triggered scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 204-222.

    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. Song, Gongfei & Zhang, Zimeng & Zhu, Yanan & Li, Tao, 2022. "Discrete-time control for highly nonlinear neutral stochastic delay systems," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    2. Liu, Jiamin & Li, Zhao-Yan & Deng, Feiqi, 2021. "Asymptotic behavior analysis of Markovian switching neutral-type stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    3. Zhang, Huasheng & Zhuang, Guangming & Sun, Wei & Li, Yongmin & Lu, Junwei, 2020. "pth moment asymptotic interval stability and stabilization of linear stochastic systems via generalized H-representation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    4. Shi, Shang & Min, Huifang & Hu, Yinlong & Sun, Yonghui & Wang, Bing, 2020. "A novel hybrid scheme for fixed-time SOSM control of nonlinear uncertain systems subject to mismatched terms," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Dai, Mingcheng & Huang, Zhengguo & Xia, Jianwei & Meng, Bo & Wang, Jian & Shen, Hao, 2019. "Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    6. Deng, Shuning & Ji, Jinchen & Wen, Guilin & Xu, Huidong, 2021. "A comparative study of the dynamics of a three-disk dynamo system with and without time delay," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    7. Joby, Maya & Santra, Srimanta & Anthoni, S. Marshal, 2021. "Finite-time contractive boundedness of extracorporeal blood circulation process," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    8. Tai, Weipeng & Zuo, Dandan & Xuan, Zuxing & Zhou, Jianping & Wang, Zhen, 2021. "Non-fragile L2−L∞ filtering for a class of switched neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 629-645.
    9. Lin, Yuqian & Zhuang, Guangming & Sun, Wei & Zhao, Junsheng & Chu, Yuming, 2021. "Resilient H∞ dynamic output feedback controller design for USJSs with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    10. Huang, Xin & Liu, Yamin & Wang, Yang & Zhou, Jianping & Fang, Muyun & Wang, Zhen, 2020. "L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    11. Wang, Yanqian & Chen, Fu & Zhuang, Guangming & Yang, Guang, 2020. "Dynamic event-based mixed H∞ and dissipative asynchronous control for Markov jump singularly perturbed systems," Applied Mathematics and Computation, Elsevier, vol. 386(C).

    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:matcom:v:192:y:2022:i:c:p:291-302. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.