Fixed/Predefined time synchronization of fractional quaternion delayed neural networks with disturbances

Hai Zhang, Panqing Gao, Renyu Ye, Ivanka Stamova and Jinde Cao

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 232, issue C, 276-294

Abstract: The fixed time synchronization (Fix-TS) and predefined time synchronization (Pre-TS) of fractional quaternion delayed neural networks (FQDNNs) with disturbances using fractional sliding mode (FSM) control are investigated. We first introduce an enhanced lemma for fixed time (Fix-T) and predefined time (Pre-T) stability, expanding upon the existing stability theory. Subsequently, we introduce the FQDNNs model with disturbance terms, which is less conservative. By constructing two FSM controllers, we derive several theorems for Fix-TS and Pre-TS, respectively. The concise criterion and accurate setting time are demonstrated through numerical simulations, and graphic visualization directly verifies the results.

Keywords: Fixed-time synchronization; Predefined-time synchronization; Fractional quaternion neural network; Fractional sliding mode controller (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:232:y:2025:i:c:p:276-294

DOI: 10.1016/j.matcom.2025.01.010

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