Stability analysis for complex-valued neural networks with fractional order

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

Chaos, Solitons & Fractals, 2023, vol. 175, issue P2

Abstract: In the context of complex-valued rectangular b-metric spaces, the present study investigates the stability of complex-valued neural networks (CVNNs) with fractional order. Using the generalized contraction principle, we address the suitable condition for uniform stability of fractionally ordered CVNNs and establish the existence and uniqueness of the equilibrium point. Few numerical results are presented to show the feasibility and correctness of the results presented.

Keywords: Complex-valued neural networks; Complex-valued rectangular b-metric space; Fractional-order; Fixed point; Uniform stability; Equilibrium point (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009463

DOI: 10.1016/j.chaos.2023.114045

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