Projective Synchronization of Fractional Quaternion Neural Networks With Time-Varying Delays

LI Chunmei; YANG Xujun; WU Xiang

doi:10.21656/1000-0887.430228

Volume 44 Issue 6

Jun. 2023

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LI Chunmei, YANG Xujun, WU Xiang. Projective Synchronization of Fractional Quaternion Neural Networks With Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2023, 44(6): 708-718. doi: 10.21656/1000-0887.430228

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Projective Synchronization of Fractional Quaternion Neural Networks With Time-Varying Delays

doi: 10.21656/1000-0887.430228

School of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Received Date: 2022-07-07
Rev Recd Date: 2023-05-08
Publish Date: 2023-06-01

Abstract

Abstract

The projective synchronization of fractional quaternion neural networks with time-varying delays was studied. Instead of transforming the fractional quaternion neural network system into 2 complex-valued systems or 4 real-valued systems, the means of treating the quaternion network system directly as a whole was applied. Under a rational controller, through the construction of a suitable Lyapunov function and with some inequality techniques, the sufficient criteria for the projective synchronization of fractional quaternion neural networks with time-varying delays were obtained. The numerical simulation example shows the validity and feasibility of the conclusions.
- fractional quaternion neural network,
- time-varying delay,
- projection synchronization,
- linear matrix inequality

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References

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