IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n501421.html

Adaptive Integral Observer‐Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances

Author

Listed:
  • Xiuchun Li
  • Jianhua Gu
  • Wei Xu

Abstract

Considering the effects of external perturbations on the state vector and the output of the original system, this paper proposes a new adaptive integral observer method to deal with chaos synchronization between the drive and response systems with unknown parameters. The analysis and proof are given by means of the Lyapunov stability theorem and Barbalat lemma. This approach has fewer constraints because many parameters related to chaotic system can be unknown, as shown in the paper. Numerical simulations are performed in the end and the results show that the proposed method is not only suitable to the representative chaotic systems but also applied to some neural network chaotic systems.

Suggested Citation

  • Xiuchun Li & Jianhua Gu & Wei Xu, 2013. "Adaptive Integral Observer‐Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:501421
    DOI: 10.1155/2013/501421
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/501421
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/501421?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. Yang, Xinsong & Huang, Chuangxia & Zhu, Quanxin, 2011. "Synchronization of switched neural networks with mixed delays via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 817-826.
    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. Yuzhu Xiao & Sufang Tang & Zhongkui Sun, 2014. "The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

    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. K., Pooja Lakshmi & Senthilkumar, T., 2024. "Synchronization results for uncertain complex-valued neural networks under delay-dependent flexible impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Yu, Tianhu & Cao, Dengqing & Yang, Yang & Liu, Shengqiang & Huang, Wenhu, 2016. "Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 92-101.
    3. Wu, Qianqian & Yang, Dan & Li, Xiaodi, 2023. "Output tracking control for state-dependent switched systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Peng Li & Xiaodi Li & Jinde Cao, 2018. "Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative," Complexity, Hindawi, vol. 2018, pages 1-8, January.
    5. Huaiqin Wu & Sanbo Ding & Xueqing Guo & Lingling Wang & Luying Zhang, 2013. "Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time‐Varying Delays and Discontinuous Activation Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Dedong Yang & He-Xu Sun & Peng Yang & Tai-Hang Du, 2013. "Synchronization of Neural Networks with Mixed Time Delays under Information Constraints," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. Bing Li & Qiankun Song, 2013. "Synchronization of Chaotic Delayed Fuzzy Neural Networks under Impulsive and Stochastic Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    8. Fan, Hongguang & Chen, Xijie & Shi, Kaibo & Wen, Hui, 2024. "Distributed delayed impulsive control for μ-synchronization of multi-link structure networks with bounded uncertainties and time-varying delays of unmeasured bounds: A novel Halanay impulsive inequality approach," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    9. Sang, Hong & Zhao, Ying & Wang, Peng & Wang, Yuzhong & Yu, Shuanghe & Dimirovski, Georgi M., 2023. "Finite-time peak-to-peak analysis for switched generalized neural networks comprised of finite-time unstable subnetworks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    10. Hanfeng Kuang & Jinbo Liu & Xi Chen & Jie Mao & Linjie He, 2013. "Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    11. Wang, Yinuo & Li, Chuandong & Wu, Hongjuan & Deng, Hao, 2024. "Stability of nonlinear delayed impulsive control systems via step-function method," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).

    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:jnljam:v:2013:y:2013:i:1:n:501421. 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/4185 .

    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.