Mutiple ψ-type stability of fractional-order quaternion-valued neural networks

K. Udhayakumar, R. Rakkiyappan, Xiaodi Li and Jinde Cao

Applied Mathematics and Computation, 2021, vol. 401, issue C

Abstract: The multiple ψ−type stability of fractional-order quaternion-valued neural networks (FQVNNs) was investigated in this paper. Some new conditions ensuring the existence of multiple equilibrium points of the considered FQVNNs are provided. Meanwhile, the ψ−type stability for the proposed neural networks is studied by employing the fractional calculus theory and fractional derivative techniques into the system dynamics. Finally, an numerical simulation is given to show the effectiveness of the theoretical results.

Keywords: Multiple stability; ψ-type functions; Fractional-order; Quaternion-valued neural networks (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001405

DOI: 10.1016/j.amc.2021.126092

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