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Synchronization Problems of Fuzzy Competitive Neural Networks

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  • Lingping Zhang
  • Feng Duan
  • Bo Du

Abstract

This paper is devoted to investigating the fixed‐time and finite‐time synchronization for fuzzy competitive neural networks with discontinuous activation functions. We introduce Filippov solution for overcoming the nonexistence of classical solutions of discontinuous system. Using the fixed‐time synchronization theory, inequality technique, we obtain simple robust fixed‐time synchronization conditions. Designing proper feedback controllers is a key step for the implementation of synchronization. Furthermore, based on the fixed‐time robust synchronization, we design a switching adaptive controller and obtain the finite‐time synchronization. It is noted that the settling time is independent on the initial value in the fixed‐time robust synchronization. Hence, under the conditions of this paper, the considered system has better stability and feasibility. Finally, the theoretical results of this paper are attested to be indeed feasible in terms of a numerical example.

Suggested Citation

  • Lingping Zhang & Feng Duan & Bo Du, 2022. "Synchronization Problems of Fuzzy Competitive Neural Networks," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:5926415
    DOI: 10.1155/2022/5926415
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    References listed on IDEAS

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    1. 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.
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