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Exponential Stability of a Class of Neutral Inertial Neural Networks with Multi-Proportional Delays and Leakage Delays

Author

Listed:
  • Chao Wang

    (School of Information and Mathematics, Yangtze University, Jingzhou 430023, China)

  • Yinfang Song

    (School of Information and Mathematics, Yangtze University, Jingzhou 430023, China)

  • Fengjiao Zhang

    (School of Information and Mathematics, Yangtze University, Jingzhou 430023, China)

  • Yuxiao Zhao

    (School of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, China
    School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

Abstract

This paper investigates the exponential stability of a class of neutral inertial neural networks with multi-proportional delays and leakage delays. By utilizing the Lyapunov stability theory, the approach of parametric variation, and the differential inequality technique, some criteria are acquired that can guarantee that all solutions of the addressed system converge exponentially to the equilibrium point. In particular, the neutral term, multi-proportional delays, and leakage delays are incorporated simultaneously, resulting in a more general model, and the findings are novel and refine the previous works. Finally, one example is provided to indicate that the dynamic behavior is consistent with the theoretical analysis.

Suggested Citation

  • Chao Wang & Yinfang Song & Fengjiao Zhang & Yuxiao Zhao, 2023. "Exponential Stability of a Class of Neutral Inertial Neural Networks with Multi-Proportional Delays and Leakage Delays," Mathematics, MDPI, vol. 11(12), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2596-:d:1165086
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    References listed on IDEAS

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    1. Huang, Chuangxia & Su, Renli & Cao, Jinde & Xiao, Songlin, 2020. "Asymptotically stable high-order neutral cellular neural networks with proportional delays and D operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 127-135.
    2. Yu, Yuehua, 2016. "Global exponential convergence for a class of HCNNs with neutral time-proportional delays," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 1-7.
    3. Deng, Yunke & Huang, Chuangxia & Cao, Jinde, 2021. "New results on dynamics of neutral type HCNNs with proportional delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 51-59.
    4. Kong, Fanchao & Ren, Yong & Sakthivel, Rathinasamy, 2021. "New criteria on periodicity and stabilization of discontinuous uncertain inertial Cohen-Grossberg neural networks with proportional delays," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    5. Ruofeng Rao & Zhi Lin & Xiaoquan Ai & Jiarui Wu, 2022. "Synchronization of Epidemic Systems with Neumann Boundary Value under Delayed Impulse," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
    6. Xu, Changjin & Li, Peiluan, 2017. "Global exponential convergence of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 139-144.
    7. Chaouki Aouiti & Rathinasamy Sakthivel & Farid Touati, 2020. "Global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(8), pages 1392-1405, June.
    8. Mingli Xia & Linna Liu & Jianyin Fang & Yicheng Zhang, 2023. "Stability Analysis for a Class of Stochastic Differential Equations with Impulses," Mathematics, MDPI, vol. 11(6), pages 1-10, March.
    9. Chunsheng Wang & Xiangdong Liu & Feng Jiao & Hong Mai & Han Chen & Runpeng Lin, 2023. "Generalized Halanay Inequalities and Relative Application to Time-Delay Dynamical Systems," Mathematics, MDPI, vol. 11(8), pages 1-11, April.
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    Cited by:

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