IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n863902.html

Adaptive Neural Networks Synchronization of a Four‐Dimensional Energy Resource Stochastic System

Author

Listed:
  • Duo Meng

Abstract

An adaptive neural networks chaos synchronization control method is proposed for a four‐dimensional energy resource demand‐supply system with input constraints. Assuming the response system contains unknown uncertain nonlinearities and unknown stochastic disturbances, the neural networks and robust terms are used to identify the nonlinearities and overcome the stochastic disturbances, respectively. Based on stochastic Lyapunov stability and robust adaptive theories, an adaptive neural networks synchronization control method is developed. In the design process, an auxiliary design system is employed to address input constraints. Simulation results, which fully coincide with theoretical results, are presented to demonstrate the obtained results.

Suggested Citation

  • Duo Meng, 2014. "Adaptive Neural Networks Synchronization of a Four‐Dimensional Energy Resource Stochastic System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:863902
    DOI: 10.1155/2014/863902
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/863902
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/863902?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
    ---><---

    References listed on IDEAS

    as
    1. Li, Xiuchun & Xu, Wei & Li, Ruihong, 2009. "Chaos synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 642-652.
    2. Sun, Mei & Jia, Qiang & Tian, Lixin, 2009. "A new four-dimensional energy resources system and its linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 101-108.
    3. Jing Cui & Litan Yan & Xichao Sun, 2014. "Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Sun, Mei & Tian, Lixin & Fu, Ying & Qian, Wei, 2007. "Dynamics and adaptive synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 879-888.
    5. Jing Cui & Litan Yan & Xichao Sun, 2014. "Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, January.
    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. Zhu, Jianhua & Peng, Yan & Gong, Zhuping & Sun, Yanming & Lai, Chaoan & Wang, Qing & Zhu, Xiaojun & Gan, Zhongxue, 2019. "Dynamic analysis of SNG and PNG supply: The stability and robustness view #," Energy, Elsevier, vol. 185(C), pages 717-729.
    2. Zhao, Min & Lv, Songjuan, 2009. "Chaos in a three-species food chain model with a Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2305-2316.
    3. Sun, Mei & Jia, Qiang & Tian, Lixin, 2009. "A new four-dimensional energy resources system and its linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 101-108.
    4. Li, Xiuchun & Xu, Wei & Li, Ruihong, 2009. "Chaos synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 642-652.
    5. Kocamaz, Uğur Erkin & Cevher, Barış & Uyaroğlu, Yılmaz, 2017. "Control and synchronization of chaos with sliding mode control based on cubic reaching rule," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 92-98.
    6. Minggang Wang & Hua Xu, 2012. "A Novel Four‐Dimensional Energy‐Saving and Emission‐Reduction System and Its Linear Feedback Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    7. Fang, Guochang & Tian, Lixin & Sun, Mei & Fu, Min, 2012. "Analysis and application of a novel three-dimensional energy-saving and emission-reduction dynamic evolution system," Energy, Elsevier, vol. 40(1), pages 291-299.
    8. Sun, Mei & Tian, Lixin & Jia, Qiang, 2009. "Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1943-1949.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2014:y:2014:i:1:n:863902. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.