Lag projective synchronization of discrete-time fractional-order quaternion-valued neural networks with time delays.

Journal: Neural networks : the official journal of the International Neural Network Society
PMID: 39096750

Abstract

This paper deals with the lag projective synchronization (LPS) problem for a class of discrete-time fractional-order quaternion-valued neural networks(DTFO QVNNs) systems with time delays. Firstly, a DTFOQVNNs system with time delay is constructed. Secondly, linear and adaptive feedback controllers with sign function are designed respectively. Furthermore, through Lyapunov direct method, DTFO inequality technique and Razumikhin theorem, some sufficiency criteria are obtained to ensure that the system in this article can achieve LPS. At last, the significance of the theoretical part of this paper is verified through numerical simulation.

Authors

  • Yan He
    School of Biology & Engineering, Guizhou Medical University, Guiyang, Guizhou Province, China.
  • Weiwei Zhang
    Department of Laboratory Medicine, Affiliated Hospital of Nantong University, Nantong, Jiangsu, China.
  • Hai Zhang
    a State Key Laboratory Breeding Base of Systematic Research Development and Utilization of Chinese Medicine Resources, Sichuan Province and Ministry of Science and Technology, College of Pharmacy and College of Ethnic Medicine , Chengdu University of Traditional Chinese Medicine , Chengdu , China.
  • Dingyuan Chen
    School of Mathematics and Computation Science, Anqing Normal University, Anqing 246133, China.
  • Jinde Cao

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