New criteria of finite time synchronization of fractional-order quaternion-valued neural networks with time delay

Weiying Shang, Weiwei Zhang, Dingyuan Chen and Jinde Cao

Applied Mathematics and Computation, 2023, vol. 436, issue C

Abstract: In this paper, to simulate some situations in the real world, a class issue of finite-time synchronization (FTS) about fractional-order quaternion-valued neural networks (FOQVNNs) with time delay is discussed. Firstly, there is no need to divide the QVNNs into several subsystems, some new lemmas related to the sign function of quaternion-valued are established in the quaternion domain. Secondly, based on the proposed sign function framework, a concise and effective controller is directly designed and FTS criteria are derived by constructing the Lyapunov function. Moreover, two settling times of synchronization are effectively estimated. Finally, some examples are shown to testify the correctness of the presented theoretical results.

Keywords: Finite-time synchronization; Quaternion-valued neural networks; Fractional-order; Delayed (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005586

DOI: 10.1016/j.amc.2022.127484

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