Mean-square exponential input-to-state stability for stochastic neutral-type quaternion-valued neural networks via Itô’s formula of quaternion version

Runtian Zeng and Qiankun Song

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: The input-to-state stability of stochastic quaternion-valued neural networks with neutral delays is explored in this study. Unlike previous researches, this study treats the neural network as a unified entity, rather than isolating and examining the real and imaginary components separately. Through the construction of a Lyapunov functional and the use of the Itô’s formula of quaternion version, a sufficient criterion for achieving mean-square exponential input-to-state stability is obtained for stochastic quaternion-valued neural networks with neutral delays. Three numerical instances are presented to validate the reliability of the obtained conditions.

Keywords: Stochastic quaternion-valued neural networks; Neutral delay; Input-to-state stability; Lyapunov method; Itô’s formula of quaternion version (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012432

DOI: 10.1016/j.chaos.2023.114341

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