IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v188y2024ics0960077924011342.html

Exploring the dynamic behavior of system model construction with unknown parameters and achieving synchronous control of fuzzy neural networks

Author

Listed:
  • Jie, Jingfeng
  • Zhang, Ping
  • Yang, Yang
  • Sui, Qingru

Abstract

This study proposes a method that combines constant terms with state variables to construct the target system model. The three-dimensional system model is used for verification, starting with integer-order and fractional-order continuous system models. Through the integration of information entropy, path entropy, permutation entropy, the SALI algorithm, and complexity methods, the dynamic behavior of the target model is thoroughly analyzed. Finally, by considering the range of values when the constant term is involved in the construction, the study integrates fuzzy neural networks to effectively construct a self-organizing fuzzy neural network with parameters(SFNNP). Using a three-dimensional continuous system as a simulation case, the study successfully realizes the synchronous control of a fuzzy neural network based on fuzzy parameterization.

Suggested Citation

  • Jie, Jingfeng & Zhang, Ping & Yang, Yang & Sui, Qingru, 2024. "Exploring the dynamic behavior of system model construction with unknown parameters and achieving synchronous control of fuzzy neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924011342
    DOI: 10.1016/j.chaos.2024.115582
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924011342
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115582?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Zhou, Rong & Yu, Simin, 2024. "Break an enhanced plaintext-related chaotic image encryption algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Durdu, Ali & Uyaroğlu, Yılmaz, 2022. "Comparison of synchronization of chaotic Burke-Shaw attractor with active control and integer-order and fractional-order P-C method," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Zhang, Mengjiao & Zang, Hongyan & Bai, Luyuan, 2022. "A new predefined-time sliding mode control scheme for synchronizing chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Dali, Ali & Abdelmalek, Samir & Bakdi, Azzeddine & Bettayeb, Maamar, 2023. "A class of PSO-tuned controllers in Lorenz chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 430-449.
    5. Zhang, Zefeng & Huang, Lilian & Liu, Jin & Guo, Qiang & Du, Xiuli, 2022. "A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    6. Kaur, Rajinder Pal & Sharma, Amit & Sharma, Anuj Kumar & Sahu, Govind Prasad, 2021. "Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    7. Yan, Minxiu & Jie, Jingfeng, 2022. "Fractional-order multiwing switchable chaotic system with a wide range of parameters," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. Mohammad Hosein Sabzalian & Ardashir Mohammadzadeh & Sakthivel Rathinasamy & Weidong Zhang, 2023. "A developed observer-based type-2 fuzzy control for chaotic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(15), pages 2921-2940, November.
    9. Chawla, Komal & Sinha, Sudeshna, 2023. "Heterogeneity induced control of chaotic systems to stable limit cycles," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    10. Lai, Qiang & Chen, Zhijie, 2023. "Dynamical analysis and finite-time synchronization of grid-scroll memristive chaotic system without equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    11. Liu, Hongwei & He, Ping & Li, Guodong & Xu, Xiangliang & Zhong, Huiyan, 2022. "Multi-directional annular multi-wing chaotic system based on Julia fractals," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    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. Cheng, Guanghui & Li, Dan & Yao, Yuangen & Gui, Rong, 2023. "Multi-scroll chaotic attractors with multi-wing via oscillatory potential wells," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Zhao, Mingjie & Li, Lixiang & Yuan, Zheng, 2024. "A multi-image encryption scheme based on a new n-dimensional chaotic model and eight-base DNA," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    3. Yang, Yafei & Fan, Meng, 2023. "Impact of selective grazing on the dynamics of a diffusive plankton model with component Allee effect and additional food," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. Zhou, Shuang & Qiu, Yuyu & Qi, Guoyuan & Zhang, Yingqian, 2023. "A new conservative chaotic system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    5. Zhang, Mengjiao & Zang, Hongyan & Liu, Zhongxin, 2025. "Fractional-order adaptive sliding mode control based on predefined-time stability for chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    6. Zhang, Jie & Zuo, Jiangang & Wang, Meng & Guo, Yan & Xie, Qinggang & Hou, Jinyou, 2024. "Design and application of multiscroll chaotic attractors based on a novel multi-segmented memristor," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    7. Huan Ding & Jing Qian & Danning Tian & Yun Zeng, 2025. "Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization," Mathematics, MDPI, vol. 13(5), pages 1-19, February.
    8. Hu, Long-Long & Chen, Ming-Xuan & Wang, Meng-Meng & Zhou, Nan-Run, 2024. "A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    9. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
    10. Cheng, Guanghui & Gui, Rong, 2024. "Understanding Chua system from the perspective of Duffing," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    11. Jia, Chao & Liu, Xiaohua, 2024. "Predefined time quasi-sliding mode control with fast convergence based on a switchable exponent for nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    12. Tan, Xiaojian & Feng, Yuming, 2025. "A new pre-defined smooth mode control for chaotic synchronization with exponential function," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    13. Zuo, Jiangang & Zhang, Jie & Wei, Xiaodong & Yang, Liu & Cheng, Nana & Lv, Jiliang, 2024. "Design and application of multisroll conservative chaotic system with no-equilibrium, dynamics analysis, circuit implementation," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    14. Tiwari, Ankit & Singh, Piyush Pratap & Roy, Binoy Krishna, 2024. "A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    15. Chen, Xiangkun & Xu, Wenxia & Li, Guodong & Pan, Hepeng & Zhang, Jingxu, 2025. "Construction, analysis, and circuit implementation of a memristive grid-multi-wing chaotic system based on a novel memristor with a single multi-section internal function," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    16. Yao, Qijia & Jahanshahi, Hadi & Bekiros, Stelios, 2025. "Chaotic synchronization and convergence of second-order time-varying parameter systems using a hybrid barrier Lyapunov function-based controller with embedded indirect neural approximation for noise suppression," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    17. Zhuang Zhao & Hongbo Zheng & Zhen Xu & Minghao Si & Jinjiang Zhang, 2025. "Predefined-Time Nonsingular Fast Terminal Sliding Mode Trajectory Tracking Control for Wheeled Mobile Robot," Mathematics, MDPI, vol. 13(4), pages 1-28, February.
    18. Fei Yu & Bohong Tan & Ting He & Shaoqi He & Yuanyuan Huang & Shuo Cai & Hairong Lin, 2025. "A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application," Mathematics, MDPI, vol. 13(5), pages 1-23, February.
    19. Yan, Shaohui & Wu, Xinyu & Jiang, Jiawei, 2025. "Dynamics analysis and predefined-time sliding mode synchronization of multi-scroll systems based on a single memristor model," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    20. Diao, Yifeng & Huang, Shufeng & Huang, Linqing & Xiong, Xiaoming & Yang, Jian & Cai, Shuting, 2024. "Generating any number of multi-butterfly chaotic attractors via a novel memristor with only one internal function," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    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:eee:chsofr:v:188:y:2024:i:c:s0960077924011342. 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.