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Global exponential synchronization of delayed fuzzy cellular neural networks with discontinuous activations

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Abstract

It is known that exponential synchronization can synchronize the response system and the drive system at a faster rate, and plays an important role in many fields such as secure communications. In this paper, we study the global exponential synchronization issue for delayed fuzzy cellular neural networks with discontinuous activations. By utilizing the discontinuous state feedback and adaptive control method and constructing Lyapunov functionals, some new and useful criteria of global exponential synchronization for the considered networks are established. The obtained criteria significantly generalize and improve recent works for delayed fuzzy neural networks with continuous activations. Finally, two examples with simulations are presented to show the effectiveness of the theoretical results.

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Author information

Authors and Affiliations

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, Anhui, 232001, People’s Republic of China

    Lian Duan & Xianwen Fang

  2. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, People’s Republic of China

    Yujie Fu

Authors
  1. Lian Duan
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  2. Xianwen Fang
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  3. Yujie Fu
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Corresponding author

Correspondence to Xianwen Fang.

Additional information

This work was supported by the National Natural Science Foundation of China (11701007, 61572035, 61170059), Key Program of University Natural Science Research Fund of Anhui Province (KJ2017A088), Key Program of Scientific Research Fund for Young Teachers of Anhui University of Science and Technology (QN201605), and the Doctoral Fund of Anhui University of Science and Technology (11668).

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Duan, L., Fang, X. & Fu, Y. Global exponential synchronization of delayed fuzzy cellular neural networks with discontinuous activations. Int. J. Mach. Learn. & Cyber. 10, 579–589 (2019). https://doi.org/10.1007/s13042-017-0740-2

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  • DOI: https://doi.org/10.1007/s13042-017-0740-2

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