IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v344-345y2019ip230-242.html
   My bibliography  Save this article

Finite-time synchronization control for semi-Markov jump neural networks with mode-dependent stochastic parametric uncertainties

Author

Listed:
  • Zhang, Dian
  • Cheng, Jun
  • Cao, Jinde
  • Zhang, Dan

Abstract

This paper addresses the problem of synchronization control for semi-Markov jump neural networks with mode-dependent stochastic parametric uncertainties covering a finite-time period. A more general semi-Markov jump neural network is developed by the mode-dependent stochastic parametric uncertainties technique, where both upper and lower bounds of parametric uncertainties are taken into consideration in determining the imprecise measurements. The time-varying semi-Markov chain information subject to uncertainty is established, and sufficient conditions are achieved combine with some integral method. Finally, two numerical examples are exhibited to verify the effectiveness of the produced scheme.

Suggested Citation

  • Zhang, Dian & Cheng, Jun & Cao, Jinde & Zhang, Dan, 2019. "Finite-time synchronization control for semi-Markov jump neural networks with mode-dependent stochastic parametric uncertainties," Applied Mathematics and Computation, Elsevier, vol. 344, pages 230-242.
    • Handle: RePEc:eee:apmaco:v:344-345:y:2019:i::p:230-242
    DOI: 10.1016/j.amc.2018.09.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318307859
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.09.013?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. Ge, Chao & Wang, Bingfang & Wei, Xian & Liu, Yajuan, 2017. "Exponential synchronization of a class of neural networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 150-161.
    2. 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.
    3. 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.
    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, Hong-Li & Hu, Cheng & Zhang, Long & Jiang, Haijun & Cao, Jinde, 2021. "Non-separation method-based robust finite-time synchronization of uncertain fractional-order quaternion-valued neural networks," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    2. Ding, Yucai & Liu, Hui & Xu, Hui & Zhong, Shouming, 2019. "On uniform ultimate boundedness of linear systems with time-varying delays and peak-bounded disturbances," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 381-392.
    3. 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).
    4. Yan, Zhilian & Guo, Tong & Zhao, Anqi & Kong, Qingkai & Zhou, Jianping, 2022. "Reliable exponential H∞ filtering for a class of switched reaction-diffusion neural networks," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    5. Zhang, Xiao-Li & Li, Hong-Li & Kao, Yonggui & Zhang, Long & Jiang, Haijun, 2022. "Global Mittag-Leffler synchronization of discrete-time fractional-order neural networks with time delays," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    6. Shi, Zhicheng & Yang, Yongqing & Chang, Qi & Xu, Xianyun, 2020. "The optimal state estimation for competitive neural network with time-varying delay using Local Search Algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    7. Harshavarthini, S. & Sakthivel, R. & Ma, Yong-Ki & Muslim, M., 2020. "Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    8. Prakash, M. & Rakkiyappan, R. & Manivannan, A. & Cao, Jinde, 2019. "Dynamical analysis of antigen-driven T-cell infection model with multiple delays," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 266-281.
    9. 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).
    10. Guo, Beibei & Xiao, Yu & Zhang, Chiping & Zhao, Yong, 2020. "Graph theory-based adaptive intermittent synchronization for stochastic delayed complex networks with semi-Markov jump," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    11. Sakthivel, Ramalingam & Sakthivel, Rathinasamy & Kwon, Oh-Min & Selvaraj, Palanisamy, 2021. "Disturbance rejection for singular semi-Markov jump neural networks with input saturation," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    12. Saravanan Shanmugam & Rajarathinam Vadivel & Nallappan Gunasekaran, 2023. "Finite-Time Synchronization of Quantized Markovian-Jump Time-Varying Delayed Neural Networks via an Event-Triggered Control Scheme under Actuator Saturation," Mathematics, MDPI, vol. 11(10), pages 1-24, May.

    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. 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.
    2. 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).
    3. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous dissipative control design for semi-Markovian jump systems with uncertain probability distribution functions of sojourn-time," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    4. 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).
    5. 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).
    6. 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.
    7. 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.
    8. Fang, Liandi & Ma, Li & Ding, Shihong & Zhao, Dean, 2019. "Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 63-79.
    9. Wang, Lingyu & Huang, Tingwen & Xiao, Qiang, 2018. "Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 263-275.
    10. 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).
    11. Cao, Yang & Udhayakumar, K. & Veerakumari, K. Pradeepa & Rakkiyappan, R., 2022. "Memory sampled data control for switched-type neural networks and its application in image secure communications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 564-587.
    12. 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.
    13. Liu, Yifan & Su, Housheng, 2019. "Containment control of second-order multi-agent systems via intermittent sampled position data communication," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    14. Luo, Jinnan & Liu, Xinzhi & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Cheng, Jun, 2020. "A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    15. Zhang, Huasheng & Zhuang, Guangming & Sun, Wei & Li, Yongmin & Lu, Junwei, 2020. "pth moment asymptotic interval stability and stabilization of linear stochastic systems via generalized H-representation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    16. Wang, Yan & Zhao, Zhiwei & Ge, Chao & Wang, Lei & Liu, Yajuan, 2022. "Networked control systems with probabilistic time-varying delay based on event-triggered non-fragile H∞ control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 206-222.
    17. 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.
    18. 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.
    19. Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    20. 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).

    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:344-345:y:2019:i::p:230-242. 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.