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

Author

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

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.

Suggested Citation

  • Zhang, Hai & Gao, Panqing & Ye, Renyu & Stamova, Ivanka & Cao, Jinde, 2025. "Fixed/Predefined time synchronization of fractional quaternion delayed neural networks with disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 232(C), pages 276-294.
    • Handle: RePEc:eee:matcom:v:232:y:2025:i:c:p:276-294
    DOI: 10.1016/j.matcom.2025.01.010
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    References listed on IDEAS

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