一类具有不确定参数的比例时滞忆阻神经网络的全局指数同步OA
Global Exponential Synchronization of a Class of Memristive Neural Networks With Proportional Delays and Uncertain Parameters
研究了一类具有不确定参数的比例时滞忆阻神经网络的全局指数同步.首先,建立了驱动-响应系统的误差系统.其次,通过引入指数函数,设计了自适应控制器,根据系统切换跳的特征将误差系统分为四种情况进行分类讨论,构造适当的Lyapunov泛函,并结合均值不等式,得到了保证所研究系统全局指数同步的判定准则.同时考虑了全局指数同步退化为全局渐近同步的情况.最后,通过数值算例及仿真验证了所得准则的有效性.
The global exponential synchronization of a class of memristive neural networks with proportional delays and uncertain parameters was studied.Firstly,the error system of the drive-response systems was estab-lished.Secondly,the exponential function was introduced and an adaptive controller was designed,to divide the error system into 4 cases according to the switching characteristics of the system,then the proper Lyapunov functional was constructed and combined with the mean value inequality,and the global exponential synchroni-zation criterion for the studied system was obtained.Meanwhile,the case of global exponential synchronization degenerating into global asymptotic synchronization was considered.Finally,the effectiveness of the obtained criterion was verified through a numerical example and simulation.
郭昱贤;周立群
天津师范大学数学科学学院,天津 300387天津师范大学数学科学学院,天津 300387
数理科学
比例时滞忆阻神经网络全局指数同步全局渐近同步自适应控制器
proportional delaymemristive neural networkglobal exponential synchronizationglobal asymp-totic synchronizationadaptive controller
《应用数学和力学》 2026 (1)
101-112,12
国家自然科学基金(1190222112101452)天津市自然科学基金(24JCYBJC00470)
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