School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China.
School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China; Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210093, China; Key Laboratory of Modeling, Simulation and Control of Complex Ecological model in Dabie Mountains of Anhui Higher Education Institutes, Anqing Normal University, Anqing 246011, China.
Neural Netw. 2024 Nov;179:106532. doi: 10.1016/j.neunet.2024.106532. Epub 2024 Jul 11.
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.
本文研究了一类具有时滞的离散时间分数阶四元数神经网络（DTFO QVNNs）系统的滞后投影同步（LPS）问题。首先，构建了一个具有时滞的 DTFOQVNNs 系统。其次，分别设计了线性和自适应反馈控制器，带有符号函数。此外，通过 Lyapunov 直接方法、DTFO 不等式技术和 Razumikhin 定理，得到了一些充分条件，以确保本文中的系统能够实现 LPS。最后，通过数值模拟验证了理论部分的意义。
