Complex-valued neural networks with time delays in the Lp sense: Numerical simulations and finite time stability

Sumati Kumari Panda, Velusamy Vijayakumar and A.M. Nagy

Chaos, Solitons & Fractals, 2023, vol. 177, issue C

Abstract: A discrete fractional-order complex-valued neural network is taken into consideration in the present study. For the existence of the solution of the considered model to be stable in finite time, certain requirements are specified. Our strategy focuses on the use of the recently formulated discrete fractional calculus, mathematical inequalities, Krasnoselskii’s fixed point theorem, and the Arzelà–Ascoli theorem. We present afew numerical examples that demonstrate the theoretical results’ implementation.

Keywords: Caputo fractional derivative; Discrete fractional order; Complex-valued neural networks (CVNNs); Stability (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011657

DOI: 10.1016/j.chaos.2023.114263

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