IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i16p2840-d884109.html
   My bibliography  Save this article

Optimal Control of PC-PLC Virus-Mutation and Multi-Delay Propagation Model in Distribution Network CPS

Author

Listed:
  • Yingying Su

    (School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China)

  • Zijing Qiu

    (School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China)

  • Guiyun Liu

    (School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
    Guangzhou Industry & Information Technology Institute for Intelligent Robotic Equipment, Guangzhou University, Guangzhou 510006, China)

  • Zhongwei Liang

    (School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
    Guangzhou Industry & Information Technology Institute for Intelligent Robotic Equipment, Guangzhou University, Guangzhou 510006, China)

Abstract

The intelligent manufacturing of power systems has led to many challenges. The cyber-physical system (CPS) was introduced to solve the problem of insufficient integration of equipment and systems. It brings advantages, but also risks. In the distribution network CPS, malicious attacks on the PC-PLC communication network can cause significant incidents and affect system safety. The paper discusses two challenges, of possible mutated virus attacks and multi-delay in the PC-PLC coupled network. We present for the first time a virus-mutation and multi-delay propagation model. Then, to effectively control the virus propagation in the network and minimize the cost, the paper proposes five control measures, introduces their possible control combinations, and solves the optimal control problem with the Pontryagin maximum theorem. Finally, simulations verify the optimal control strategies for all combinations. By comparing the effects of maximum control, minimum control, average control, and optimal control, the optimal control strategy has been proven to be effective.

Suggested Citation

  • Yingying Su & Zijing Qiu & Guiyun Liu & Zhongwei Liang, 2022. "Optimal Control of PC-PLC Virus-Mutation and Multi-Delay Propagation Model in Distribution Network CPS," Mathematics, MDPI, vol. 10(16), pages 1-24, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2840-:d:884109
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/16/2840/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/16/2840/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Guiyun Liu & Zhimin Peng & Zhongwei Liang & Xiaojing Zhong & Xinhai Xia, 2022. "Analysis and Control of Malware Mutation Model in Wireless Rechargeable Sensor Network with Charging Delay," Mathematics, MDPI, vol. 10(14), pages 1-28, July.
    2. Guiyun Liu & Jieyong Chen & Zhongwei Liang & Zhimin Peng & Junqiang Li, 2021. "Dynamical Analysis and Optimal Control for a SEIR Model Based on Virus Mutation in WSNs," Mathematics, MDPI, vol. 9(9), pages 1-16, April.
    3. Zizhen Zhang & Huizhong Yang, 2013. "Stability and Hopf Bifurcation in a Delayed SEIRS Worm Model in Computer Network," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, November.
    Full references (including those not matched with items on IDEAS)

    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. Anusit Chamnan & Puntani Pongsumpun & I-Ming Tang & Napasool Wongvanich, 2022. "Effect of a Vaccination against the Dengue Fever Epidemic in an Age Structure Population: From the Perspective of the Local and Global Stability Analysis," Mathematics, MDPI, vol. 10(6), pages 1-25, March.
    2. Guiyun Liu & Zhimin Peng & Zhongwei Liang & Xiaojing Zhong & Xinhai Xia, 2022. "Analysis and Control of Malware Mutation Model in Wireless Rechargeable Sensor Network with Charging Delay," Mathematics, MDPI, vol. 10(14), pages 1-28, July.

    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:gam:jmathe:v:10:y:2022:i:16:p:2840-:d:884109. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.