Stability for neutral-type integro-differential neural networks with random switches in noise and delay

Document Type : Research Paper


1 ISTI Lab‎, ‎ENSA PO Box 1136‎, ‎Ibn Zohr University‎, ‎Agadir‎, ‎Morocco.

2 Department of Mathematics‎, ‎Faculty of Sciences‎, ‎Van Yuzuncu Yil University‎, ‎65080‎, ‎Van‎, ‎Turkey.


This paper focuses on existence, uniqueness, and stability analysis of solutions for a new kind of delayed integro-differential neural networks with Markovian switches in delays and noises. The studied system combines many types of integro-differential neural network treatises in the literature. After having presented the studied system, the existence and uniqueness of solutions are shown under Lipschitz condition. By using the Lyapunov-Krasovskii functional, some stochastic analysis techniques and the M-matrix approach, stochastic stability, and general decay stability are established. Finally, a numerical example is given to validate the main established theoretical results.


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Volume 11, Issue 1
January 2023
Pages 65-80
  • Receive Date: 05 December 2021
  • Revise Date: 30 January 2022
  • Accept Date: 09 April 2022
  • First Publish Date: 09 April 2022