Volume 43 Issue 1
Jan.  2022
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Wei ZHAO, Fengli REN. 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
Citation: Wei ZHAO, Fengli REN. 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

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

doi: 10.21656/1000-0887.420068
  • Received Date: 2021-02-18
  • Rev Recd Date: 2021-09-15
  • Available Online: 2021-11-15
  • Publish Date: 2022-01-01
  • 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.

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