IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v347y2019icp449-463.html
   My bibliography  Save this article

Hybrid-delay-dependent approach to synchronization in distributed delay neutral neural networks

Author

Listed:
  • Li, Tao
  • Tang, Xiaoling
  • Qian, Wei
  • Fei, Shumin

Abstract

This paper is concerned with the master-slave synchronization in a class of neutral neural networks with both leakage and distributed delays. Firstly, based on state feedback controller, the closed-loop error system can be obtained. Then by fully utilizing the information and internal relationship of time-delays, three augmented Lyapunov–Krasovskii functionals (LKFs) are constructed, in which infinite distributed delay and finite one are respectively studied. Especially, some Wirtinger-based inequalities are exploited and an extended reciprocal combination technique (ERCT) is proposed, which can reconsider the previously ignored information. Sufficient conditions are formulated in terms of linear matrix inequalities (LMIs) and can be easily tested. Finally, three numerical examples are given to illustrate the designed schemes.

Suggested Citation

  • Li, Tao & Tang, Xiaoling & Qian, Wei & Fei, Shumin, 2019. "Hybrid-delay-dependent approach to synchronization in distributed delay neutral neural networks," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 449-463.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:449-463
    DOI: 10.1016/j.amc.2018.11.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318309925
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.11.019?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, Xiaoxu & Liang, Yan & Pan, Quan & Zhao, Chunhui & Yang, Feng, 2014. "Design and implementation of Gaussian filter for nonlinear system with randomly delayed measurements and correlated noises," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1011-1024.
    2. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
    3. Park, Ju H., 2009. "Synchronization of cellular neural networks of neutral type via dynamic feedback controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1299-1304.
    4. Subramanian, K. & Muthukumar, P. & Lakshmanan, S., 2018. "State feedback synchronization control of impulsive neural networks with mixed delays and linear fractional uncertainties," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 267-281.
    5. Chen, Yonggang & Wang, Zidong & Liu, Yurong & Alsaadi, Fuad E., 2018. "Stochastic stability for distributed delay neural networks via augmented Lyapunov–Krasovskii functionals," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 869-881.
    6. Fang, Mei, 2015. "Synchronization for complex dynamical networks with time delay and discrete-time information," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 1-11.
    7. Kalpana, M. & Balasubramaniam, P. & Ratnavelu, K., 2015. "Direct delay decomposition approach to synchronization of chaotic fuzzy cellular neural networks with discrete, unbounded distributed delays and Markovian jumping parameters," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 291-304.
    8. Zheng, Mingwen & Wang, Zeming & Li, Lixiang & Peng, Haipeng & Xiao, Jinghua & Yang, Yixian & Zhang, Yanping & Feng, Cuicui, 2018. "Finite-time generalized projective lag synchronization criteria for neutral-type neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 195-203.
    9. Long, Fei & Zhang, Chuan-Ke & He, Yong & Jiang, Lin & Wang, Qing-Guo & Wu, Min, 2018. "Stability analysis of Lur’e systems with additive delay components via a relaxed matrix inequality," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 224-242.
    10. Wang, Weiping & Yu, Minghui & Luo, Xiong & Liu, Linlin & Yuan, Manman & Zhao, Wenbing, 2017. "Synchronization of memristive BAM neural networks with leakage delay and additive time-varying delay components via sampled-data control," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 84-97.
    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. Zheng, Bibo & Wang, Zhanshan, 2022. "Mittag-Leffler synchronization of fractional-order coupled neural networks with mixed delays," Applied Mathematics and Computation, Elsevier, vol. 430(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. Wang, Weiping & Jia, Xiao & Luo, Xiong & Kurths, Jürgen & Yuan, Manman, 2019. "Fixed-time synchronization control of memristive MAM neural networks with mixed delays and application in chaotic secure communication," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 85-96.
    2. Li, Feng & Song, Shuai & Zhao, Jianrong & Xu, Shengyuan & Zhang, Zhengqiang, 2019. "Synchronization control for Markov jump neural networks subject to HMM observation and partially known detection probabilities," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 1-13.
    3. Duan, Wei-Long & Zeng, Chunhua, 2017. "Signal power amplification of intracellular calcium dynamics with non-Gaussian noises and time delay," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 400-405.
    4. Fu, Xiaozheng & Zhu, Quanxin & Guo, Yingxin, 2019. "Stabilization of stochastic functional differential systems with delayed impulses," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 776-789.
    5. Cui, Kaiyan & Song, Zhanjie & Zhang, Shuo, 2022. "Stability of neutral-type neural network with Lévy noise and mixed time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    6. Zhen Yang & Zhengqiu Zhang, 2022. "Finite-Time Synchronization Analysis for BAM Neural Networks with Time-Varying Delays by Applying the Maximum-Value Approach with New Inequalities," Mathematics, MDPI, vol. 10(5), pages 1-16, March.
    7. Guo, Beibei & Wu, Yinhu & Xiao, Yu & Zhang, Chiping, 2018. "Graph-theoretic approach to synchronizing stochastic coupled systems with time-varying delays on networks via periodically intermittent control," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 341-357.
    8. Jiao, Shiyu & Shen, Hao & Wei, Yunliang & Huang, Xia & Wang, Zhen, 2018. "Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 338-350.
    9. Ratnavelu, K. & Manikandan, M. & Balasubramaniam, P., 2015. "Synchronization of fuzzy bidirectional associative memory neural networks with various time delays," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 582-605.
    10. Yueping Sun & Li Ma & Dean Zhao & Shihong Ding, 2018. "A Compound Controller Design for a Buck Converter," Energies, MDPI, vol. 11(9), pages 1-17, September.
    11. Xia, ZeLiang & He, Shuping, 2022. "Finite-time asynchronous H∞ fault-tolerant control for nonlinear hidden markov jump systems with actuator and sensor faults," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    12. 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).
    13. Syed Ali, M. & Yogambigai, J., 2016. "Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 244-258.
    14. Zhang, Dian & Cheng, Jun & Ki Ahn, Choon & Ni, Hongjie, 2019. "A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 191-205.
    15. Pharunyou Chanthorn & Grienggrai Rajchakit & Sriraman Ramalingam & Chee Peng Lim & Raja Ramachandran, 2020. "Robust Dissipativity Analysis of Hopfield-Type Complex-Valued Neural Networks with Time-Varying Delays and Linear Fractional Uncertainties," Mathematics, MDPI, vol. 8(4), pages 1-22, April.
    16. Yang, Yi & Li, Xiaohua & Liu, Xiaoping, 2022. "Decentralized finite-time connective tracking control with prescribed settling time for p-normal form stochastic large-scale systems," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    17. Xia, Weifeng & Xu, Shengyuan & Lu, Junwei & Li, Yongmin & Chu, Yuming & Zhang, Zhengqiang, 2021. "Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    18. Li, Tao & Dai, Zhuxiang & Song, Gongfei & Du, Haiping, 2019. "Simultaneous disturbance estimation and fault reconstruction using probability density functions," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    19. 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.
    20. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.

    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:apmaco:v:347:y:2019:i:c:p:449-463. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.