Research article

Controlling stability through the rate of decay of the delay feedback kernels

  • Received: 02 August 2023 Revised: 30 August 2023 Accepted: 07 September 2023 Published: 14 September 2023
  • MSC : 34C11, 34G20, 92B20

  • Of concern is the Hopfield neural network system comprising discrete as well as distributed delays in the form of a convolution. For a desired convergence rate of the solution to the equilibrium state, we establish sufficient conditions on the delay kernels ensuring this matter. Our result improves an existing one in the literature. The adopted approach is completely different. It relies on a judicious choice of a Lyapunov-like function and careful manipulations.

    Citation: Mohammed D. Kassim. Controlling stability through the rate of decay of the delay feedback kernels[J]. AIMS Mathematics, 2023, 8(11): 26343-26356. doi: 10.3934/math.20231344

    Related Papers:

  • Of concern is the Hopfield neural network system comprising discrete as well as distributed delays in the form of a convolution. For a desired convergence rate of the solution to the equilibrium state, we establish sufficient conditions on the delay kernels ensuring this matter. Our result improves an existing one in the literature. The adopted approach is completely different. It relies on a judicious choice of a Lyapunov-like function and careful manipulations.



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