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Global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays

Author

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  • Chaouki Aouiti
  • Rathinasamy Sakthivel
  • Farid Touati

Abstract

This paper is concerned with the global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays. Based on Lyapunov functionals and linear matrix inequality approach, new sufficient conditions are derived to ensure the global dissipativity and global exponential dissipativity of the suggested system. Moreover, the globally exponential attractive sets and positive invariant sets are also presented here. Finally, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1392-1405
    DOI: 10.1080/00207721.2020.1764128
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    Cited by:

    1. 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).
    2. Han, Siyu & Hu, Cheng & Yu, Juan & Jiang, Haijun & Wen, Shiping, 2021. "Stabilization of inertial Cohen-Grossberg neural networks with generalized delays: A direct analysis approach," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Wang, Junlan & Wang, Xin & Wang, Yantao & Zhang, Xian, 2021. "Non-reduced order method to global h-stability criteria for proportional delay high-order inertial neural networks," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    4. 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.

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