IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v151y2021ics0960077921005968.html
   My bibliography  Save this article

Synchronization of coupled systems via intermittent event-triggered control: Quaternion case

Author

Listed:
  • Liu, Yan
  • Wang, Junpu

Abstract

This paper is concerned with the synchronization problem of quaternion-valued coupled systems. It is worth mentioning that it is the first time that intermittent event-triggered control is used to study quaternion-valued coupled systems, which coupled strength is also quaternion-valued. At first, it can be proved that event-triggered control can exclude Zeno behavior. Then, on the basis of graph theory and Lyapunov method, a synchronization criterion is given, whose conditions are closely related to coupled structure, event-triggered constant and uncontrolled rate. Moreover, quaternion-valued Chua’s circuits are considered for the first time, which is an application of our theoretical results. Finally, corresponding numerical simulations are presented to show the effectiveness of the theoretical results.

Suggested Citation

  • Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005968
    DOI: 10.1016/j.chaos.2021.111242
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921005968
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111242?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. Wang, Jun & Shi, Kaibo & Huang, Qinzhen & Zhong, Shouming & Zhang, Dian, 2018. "Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 211-230.
    2. Lu, Jianquan & Ho, Daniel W.C., 2008. "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1497-1510.
    3. Aihua Hu & Jinde Cao, 2017. "Consensus of multi-agent systems via intermittent event-triggered control," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 280-287, January.
    4. Ding, Kui & Zhu, Quanxin, 2019. "H∞ synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 244-256.
    5. Pradeep, C. & Cao, Yang & Murugesu, R. & Rakkiyappan, R., 2019. "An event-triggered synchronization of semi-Markov jump neural networks with time-varying delays based on generalized free-weighting-matrix approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 41-56.
    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. Guo, Beibei & Xiao, Yu, 2023. "Intermittent synchronization for multi-link and multi-delayed large-scale systems with semi-Markov jump and its application of Chua’s circuits," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Ren, Yue & Jiang, Haijun & Hu, Cheng & Chen, Shanshan, 2024. "Synchronization of complex-valued multi-layer coupled systems by asynchronous intermittent event-triggered mechanisms," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    3. Luo, Mei & Wang, JinRong & Meng, Deyuan, 2023. "Stochastic convergence problems on switching networks: An event-triggered method," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    4. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

    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. Zhao, Kaihong, 2023. "Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    2. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    3. Katiyar, S.K. & Chand, A. K. B & Saravana Kumar, G., 2019. "A new class of rational cubic spline fractal interpolation function and its constrained aspects," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 319-335.
    4. Zlatkovic, Bojana M. & Samardzic, Biljana, 2019. "Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 86-93.
    5. Zhang, Zhiming & Zheng, Wei & Lam, H.K. & Wen, Shuhuan & Sun, Fuchun & Xie, Ping, 2020. "Stability analysis and output feedback control for stochastic networked systems with multiple communication delays and nonlinearities using fuzzy control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    6. Wang, Guanjun & Cao, Jinde & Lu, Jianquan, 2010. "Outer synchronization between two nonidentical networks with circumstance noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1480-1488.
    7. Zeng, Deqiang & Pu, Zhilin & Zhang, Ruimei & Zhong, Shouming & Liu, Yajuan & Wu, Guo-Cheng, 2019. "Stochastic reliable synchronization for coupled Markovian reaction–diffusion neural networks with actuator failures and generalized switching policies," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 88-106.
    8. Otkel, Madina & Ganesan, Soundararajan & Rajan, Rakkiyappan & Kashkynbayev, Ardak, 2024. "Finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks via sliding mode control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 252-263.
    9. Gao, Zifan & Zhang, Dawei & Zhu, Shuqian, 2023. "Hybrid event-triggered synchronization control of delayed chaotic neural networks against communication delay and random data loss," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    10. Liu, Jixin & Song, Shimin & Jiang, Haijun & Li, Jiarong & Liu, Xiaolin, 2020. "New results of projective synchronization for memristor-based coupled neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    11. Jiaojiao Zhuang & Zhenxing Li & Zongxiang Hou & Chengdong Yang, 2022. "Event-Triggered Consensus Control of Nonlinear Strict Feedback Multi-Agent Systems," Mathematics, MDPI, vol. 10(9), pages 1-16, May.
    12. Dong, Tao & Wang, Aijuan & Zhu, Huiyun & Liao, Xiaofeng, 2018. "Event-triggered synchronization for reaction–diffusion complex networks via random sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 454-462.
    13. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Distributed event-triggered protocols with Kx-functional observer for leader-following multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    14. Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    15. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Observer-based output feedback distributed event-triggered control for linear multi-agent systems under general directed graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    16. Ren, Yue & Jiang, Haijun & Hu, Cheng & Chen, Shanshan, 2024. "Synchronization of complex-valued multi-layer coupled systems by asynchronous intermittent event-triggered mechanisms," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    17. Li, Liangchen & Xu, Rui & Lin, Jiazhe, 2020. "Lagrange stability for uncertain memristive neural networks with Lévy noise and leakage delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    18. Shi, Kaibo & Wang, Jun & Zhong, Shouming & Zhang, Xiaojun & Liu, Yajuan & Cheng, Jun, 2019. "New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 169-193.
    19. Wang, Jian-an & Ma, Xiaohui & Wen, Xinyu & Sun, Qianlai, 2016. "Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 278-287.
    20. Xia, Yongxiang & Liu, Nianjun & Iu, Herbert H.C., 2009. "Oscillation and chaos in a deterministic traffic network," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1700-1704.

    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:151:y:2021:i:c:s0960077921005968. 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.