Finite Time Adaptive Synchronization of Quaternion-Value Neural Networks With Time Delays

ZHAO Wei; REN Fengli

doi:10.21656/1000-0887.420068

Volume 43 Issue 1

Jan. 2022

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ZHAO Wei, REN Fengli. Finite Time Adaptive Synchronization of Quaternion-Value Neural Networks With Time Delays[J]. Applied Mathematics and Mechanics, 2022, 43(1): 94-103. doi: 10.21656/1000-0887.420068

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Finite Time Adaptive Synchronization of Quaternion-Value Neural Networks With Time Delays

doi: 10.21656/1000-0887.420068

ZHAO Wei,
REN Fengli^,

Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P.R.China

Received Date: 2021-02-18
Rev Recd Date: 2021-09-15

Available Online: 2021-11-15

Publish Date: 2022-01-01

Abstract

Abstract

This paper is concerned with the finite time synchronization of quaternion-value neural networks with time delays. Based on finite time control technique, the protocol of adaptive control is first proposed. Then by utilizing Lyapunov function method and inequalities skills, some sufficient conditions are derived to ensuring master systems and slave systems achieved synchronization in finite time, the settling time can also be theoretically given. Finally, the numerical simulation on quaternion-value neural networks with time delays is included to show the effectiveness of the theorem.
- neural network,
- finite time synchronization,
- adaptive control,
- quaternion

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References(21)

References

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