Multiple asymptotical -periodicity of fractional-order delayed neural networks under state-dependent switching. Academic Article uri icon


  • This paper presents theoretical results on multiple asymptotical -periodicity of a state-dependent switching fractional-order neural network with time delays and sigmoidal activation functions. Firstly, by combining the geometrical properties of activation functions with the range of switching threshold, a partition of state space is given. Then, the conditions guaranteeing that the solutions can approach each other infinitely in each positive invariant set are derived. Furthermore, the S-asymptotical -periodicity and the convergence of solutions in positive invariant sets are discussed. It is worth noting that the number of attractors increases to 3n from 2n in a neural network without switching. Finally, three numerical examples are given to substantiate the theoretical results.

published proceedings

  • Neural Netw

altmetric score

  • 0.25

author list (cited authors)

  • Ci, J., Guo, Z., Long, H., Wen, S., & Huang, T.

citation count

  • 2

complete list of authors

  • Ci, Jingxuan||Guo, Zhenyuan||Long, Han||Wen, Shiping||Huang, Tingwen

publication date

  • January 2023