Synchronization in Quaternion-Valued Neural Networks with Delay and Stochastic Impulses
Li C. Cao J. Kashkynbayev A.
February 2022Springer
Neural Processing Letters
2022#54Issue 1691 - 708 pp.
A class of global exponential synchronization problem for delayed quaternion-valued neural networks with stochastic impulses has been investigated in this paper, where the impulses arouse time and strength both are randomly. Firstly, the delayed quaternion-valued model with stochastic impulses was fain to separate to four real-valued parts in consideration of the fact that noncommutativity character of quaternion multiplication. Then, a new criterion was obtained to achieve the global exponential synchronization via building an appropriate classically Lyapunov candidate function and utilizing the method of comparison principle and reduction to absurdity. Finally, in order to verify the validity of the proposed theorem, a given numerical example is provided.
Delayed quaternion-valued neural network , Global exponential synchronization , Stochastic impulses
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School of Mathematics, Southeast University, Nanjing, 210096, China
Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South Korea
Department of Mathematics, Nazarbayev University, Kabanbay Batyr Avenue 53, Nur-Sultan, 010000, Kazakhstan
School of Mathematics
Yonsei Frontier Lab
Department of Mathematics
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