Adaptive quaternion projective synchronization of fractional order delayed neural networks in quaternion field

Weiwei Zhang, Chunlin Sha, Jinde Cao, Guanglan Wang and Yuan Wang

Applied Mathematics and Computation, 2021, vol. 400, issue C

Abstract: This paper focuses on investigating quaternion projective synchronization of the fractional order delayed quaternion valued neural networks(FODQVNN). By applying Lyapunov direct method rather than decomposition method, quaternion projective synchronization of FODQVNN is discussed, in which the projective coefficient is set to quaternion number. Through designing appropriate adaptive controllers, some succinct criteria ascertaining the quaternion projective synchronization issues for considering systems are obtained. Finally, an example is presented to test the effectiveness of the theoretical scheme.

Keywords: Projective synchronization; Fractional order; Quaternion valued neural networks; Adaptive controller; Lyapunov method (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:400:y:2021:i:c:s009630032100093x

DOI: 10.1016/j.amc.2021.126045

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