IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v482y2017icp808-817.html
   My bibliography  Save this article

Synchronization of uncertain time-varying network based on sliding mode control technique

Author

Listed:
  • Lü, Ling
  • Li, Chengren
  • Bai, Suyuan
  • Li, Gang
  • Rong, Tingting
  • Gao, Yan
  • Yan, Zhe

Abstract

We research synchronization of uncertain time-varying network based on sliding mode control technique. The sliding mode control technique is first modified so that it can be applied to network synchronization. Further, by choosing the appropriate sliding surface, the identification law of uncertain parameter, the adaptive law of the time-varying coupling matrix element and the control input of network are designed, it is sure that the uncertain time-varying network can synchronize effectively the synchronization target. At last, we perform some numerical simulations to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Lü, Ling & Li, Chengren & Bai, Suyuan & Li, Gang & Rong, Tingting & Gao, Yan & Yan, Zhe, 2017. "Synchronization of uncertain time-varying network based on sliding mode control technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 808-817.
    • Handle: RePEc:eee:phsmap:v:482:y:2017:i:c:p:808-817
    DOI: 10.1016/j.physa.2017.04.167
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117304776
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.04.167?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. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Synchronization transmission of target signal within the coupling network with quantum chaos effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 579-585.
    2. Lü, Ling & Chen, Liansong & Bai, Suyuan & Li, Gang, 2016. "A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 314-325.
    3. Li, Chengren & Lü, Ling & Zhao, Guannan & Li, Gang & Tian, Jing & Gu, Jiajia & Wang, Zhouyang, 2017. "Projective synchronization of uncertain scale-free network based on modified sliding mode control technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 511-521.
    4. Lü, Ling & Chen, Liansong & Han, Changhui & Ge, Lianjun & Gao, Liyu, 2017. "Synchronization transmission of spatiotemporal chaotic signal in the uncertain time-varying network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 74-84.
    5. Sakthivel, R. & Anbuvithya, R. & Mathiyalagan, K. & Ma, Yong-Ki & Prakash, P., 2016. "Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 213-228.
    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, Chengren & Lü, Ling & Li, Gang & Zhao, Guannan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2019. "Cluster synchronization in uncertain network with nonidentical nodes based on adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 742-749.
    2. Lü, Ling & Zhang, Fuli & Han, Changhui, 2019. "Synchronization transmission of the target signal in the circuit network based on coupling technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Aadhithiyan, S. & Raja, R. & Zhu, Q. & Alzabut, J. & Niezabitowski, M. & Lim, C.P., 2021. "Modified projective synchronization of distributive fractional order complex dynamic networks with model uncertainty via adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

    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. Lü, Ling & Li, Chengren & Bai, Suyuan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2017. "Cluster synchronization between uncertain networks with different dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 429-437.
    2. Li, Chengren & Lü, Ling & Chen, Liansong & Hong, Yixuan & Zhou, Shuang & Yang, Yiming, 2018. "Cluster synchronization transmission of different external signals in discrete uncertain network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 238-247.
    3. Li, Chengren & Lü, Ling & Li, Gang & Zhao, Guannan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2019. "Cluster synchronization in uncertain network with nonidentical nodes based on adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 742-749.
    4. Lü, Ling & Li, Chengren & Chen, Liansong & Bai, Suyuan & Ge, Lianjun & Gao, Liyu & Han, Changhui, 2018. "Outer synchronization between uncertain networks with adaptive scaling function and different node numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 909-918.
    5. Li, Chengren & Lü, Ling & Zhao, Guannan & Li, Gang & Tian, Jing & Gu, Jiajia & Wang, Zhouyang, 2017. "Projective synchronization of uncertain scale-free network based on modified sliding mode control technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 511-521.
    6. Li, Wenlin & Gebremariam, Tesfay & Li, Chong & Song, Heshan, 2017. "Synchronization effect for uncertain quantum networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 621-627.
    7. Lü, Ling & Chen, Liansong & Han, Changhui & Ge, Lianjun & Gao, Liyu, 2017. "Synchronization transmission of spatiotemporal chaotic signal in the uncertain time-varying network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 74-84.
    8. Lü, Ling & Li, Chengren & Li, Gang & Sun, Ao & Yan, Zhe & Rong, Tingting & Gao, Yan, 2017. "Design of synchronization technique for uncertain discrete network group with diverse structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 543-551.
    9. Lü, Ling & Xu, Yuqing & Chen, Liansong & Li, Chengren, 2019. "Exponential synchronization of uncertain networks with the switching topology based on sliding mode technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 121-130.
    10. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Realization of quantum information processing in quantum star network constituted by superconducting hybrid systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 427-436.
    11. Lü, Ling & Wei, Qingtao, 2019. "Parameter estimation and synchronization in the uncertain financial network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    12. Qin, Xiaoli & Wang, Cong & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Ye, Lu, 2018. "Finite-time modified projective synchronization of memristor-based neural network with multi-links and leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 302-315.
    13. Lü, Ling & Zhang, Fuli & Han, Changhui, 2019. "Synchronization transmission of the target signal in the circuit network based on coupling technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    14. Lü, Ling & Wei, Qingtao & Jia, Hao & Tian, Shuo & Xu, Zhao & Zhao, Lina & Xu, Zhichao & Xu, Xianying, 2019. "Parameter identification and synchronization between uncertain delay networks based on the coupling technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    15. Wei, Qingtao & Lü, Ling & Jia, Hao, 2019. "Research on coupled synchronization of Duffing circuit network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 247-255.
    16. Zeng, Deqiang & Zhang, Ruimei & Liu, Yajuan & Zhong, Shouming, 2017. "Sampled-data synchronization of chaotic Lur’e systems via input-delay-dependent-free-matrix zero equality approach," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 34-46.
    17. Lü, Ling & Li, Chengren & Bai, Suyuan & Li, Gang & Yan, Zhe & Rong, Tingting & Gao, Yan, 2018. "Synchronization between uncertain time-delayed networks with multi-link and different topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 635-643.
    18. Zhang, Guodong & Cao, Jinde, 2023. "New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    19. Abdurahman, Abdujelil & Abudusaimaiti, Mairemunisa & Jiang, Haijun, 2023. "Fixed/predefined-time lag synchronization of complex-valued BAM neural networks with stochastic perturbations," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    20. Lü, Ling & Li, Chengren & Li, Gang & Bai, Suyuan & Gao, Xinyu & Zhang, Hanbing, 2017. "Synchronization transmission of spiral wave and turbulence within the uncertain switching network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 85-98.

    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:phsmap:v:482:y:2017:i:c:p:808-817. 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/physica-a-statistical-mechpplications/ .

    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.