Mittag–Leffler Synchronization of Caputo-Delayed Quaternion BAM Neural Networks via Adaptive and Linear Feedback Control Designs
Abstract
:1. Introduction
- The impacts of delay, quaternion and BAM on MLS are simultaneously considered, then the discussed models are more general.
- Without decomposing, the quaternion-value is regarded as a compact whole, which reduces the complexity of calculation and the difficulty of theoretical analysis.
- A new lemma is proved by the Laplace transform, and MLS criteria of fractional delayed quaternion BAM-NNs are obtained by using this new lemma.
- The adaptive feedback and linear feedback controllers are designed, and the corresponding Lyapunov functionals are constructed, which can improve control efficiency and reduce control cost.
2. Preliminaries
3. Main Results
4. Examples
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Ye, R.; Cheng, J.; Shu, A.; Zhang, H. Mittag–Leffler Synchronization of Caputo-Delayed Quaternion BAM Neural Networks via Adaptive and Linear Feedback Control Designs. Electronics 2022, 11, 1746. https://doi.org/10.3390/electronics11111746
Ye R, Cheng J, Shu A, Zhang H. Mittag–Leffler Synchronization of Caputo-Delayed Quaternion BAM Neural Networks via Adaptive and Linear Feedback Control Designs. Electronics. 2022; 11(11):1746. https://doi.org/10.3390/electronics11111746
Chicago/Turabian StyleYe, Renyu, Jingshun Cheng, Axiu Shu, and Hai Zhang. 2022. "Mittag–Leffler Synchronization of Caputo-Delayed Quaternion BAM Neural Networks via Adaptive and Linear Feedback Control Designs" Electronics 11, no. 11: 1746. https://doi.org/10.3390/electronics11111746