Finite-time synchronization of quaternion-valued neural networks with delays: A switching control method without decomposition.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Jan 3, 2022

Abstract

For a class of quaternion-valued neural networks (QVNNs) with discrete and distributed time delays, its finite-time synchronization (FTSYN) is addressed in this paper. Instead of decomposition, a direct analytical method named two-step analysis is proposed. That method can always be used to study FTSYN, under either 1-norm or 2-norm of quaternion. Compared with the decomposing method, the two-step method is also suitable for models that are not easily decomposed. Furthermore, a switching controller based on the two-step method is proposed. In addition, two criteria are given to realize the FTSYN of QVNNs. At last, three numerical examples illustrate the feasibility, effectiveness and practicability of our method.

Authors

  • Tao Peng
    Department of Biology, Shantou University, Shantou, China.
  • Jie Zhong
    Department of Ophthalmology, Sichuan Academy of Medical Sciences and Sichuan Provincial People's Hospital, Chengdu, PR China. Electronic address: zjllxx1968@163.com.
  • Zhengwen Tu
    Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210996, Jiangsu, China; School of Mathematics and Statistics, and Key Laboratory for Nonlinear Science and System Structure, Chongqing Three Gorges University, Wanzhou 404100, Chongqing, China.
  • Jianquan Lu
    Department of Mathematics, Southeast University, Nanjing 210096, China. Electronic address: jqluma@seu.edu.cn.
  • Jungang Lou
    School of Information Engineering, Huzhou University, Huzhou 313000, China. Electronic address: ljg@zjhu.edu.cn.

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