Pu Hao, Li Fengjun
School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, Ningxia, PR China.
School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021, Ningxia, PR China.
ISA Trans. 2023 Feb;133:302-316. doi: 10.1016/j.isatra.2022.07.022. Epub 2022 Jul 20.
This paper studies the fixed-time projective synchronization problem for a class of delayed memristive neural networks via aperiodically semi-intermittent switching control. Instead of using the common traditional controller containing two power exponent terms, a novel aperiodically semi-intermittent switching controller is designed, containing only one power exponent term which serves as a function of the state of the error system. With the aid of the extended differential inclusion framework, the analysis method, and the inequality technique, some new sufficient conditions are derived to guarantee fixed-time projective synchronization for the considered systems. Compared with periodically semi-intermittent control methods, the control time width of each section in aperiodically semi-intermittent control can be adjusted. Especially, the settling time is directly reckoned, which is closely related to the number of neurons and the maximum ratio of the second subinterval span in each non-periodic span to all non-periodic time spans rather than the initial value. Additionally, the projection synchronization has a strong practicality, as the projection coefficient can be adjusted for different needs instead of being fixed. Meanwhile, the study improves some previous related works. Ultimately, a numerical example is given to substantiate the correctness of the obtained results.
本文通过非周期半间歇切换控制研究了一类时滞忆阻神经网络的固定时间投影同步问题。设计了一种新型的非周期半间歇切换控制器，它不使用包含两个幂次项的传统控制器，而是仅包含一个作为误差系统状态函数的幂次项。借助扩展的微分包含框架、分析方法和不等式技术，推导出了一些新的充分条件，以确保所考虑系统的固定时间投影同步。与周期半间歇控制方法相比，非周期半间歇控制中每个区间的控制时间宽度可以调整。特别地，直接计算了收敛时间，它与神经元的数量以及每个非周期跨度中第二个子区间跨度与所有非周期时间跨度的最大比值密切相关，而不是与初始值相关。此外，投影同步具有很强的实用性，因为投影系数可以根据不同需求进行调整而不是固定不变。同时，该研究改进了一些先前的相关工作。最后，给出了一个数值例子来证实所得结果的正确性。
