摘要
讨论了具有参数不确定的间断分数阶神经网络的同步问题.通过构造Lur’e Postnikov型Lyapunov函数,利用非光滑分析和不等式技巧等,建立了具有线性矩阵不等式形式的间断分数阶神经网络的全局鲁棒Mittag-Leffler同步和在有限时间内同步的充分性判据.最后,运用数值算例验证了所得理论的有效性.
The paper discuss the issue of the synchronization of discontinuous fractionalorder neural networks with uncertainties.By constructing Lur’e Postnikov Lyapunov function,the sufficient criterion for global robust Mittag-Leffler synchronization and finite-time synchronization with linear matrix inequality(LMI)is established under the designed controller,via utilizing non-smooth analysis and inequality techniques,and so on.Finally,the validity of the theory are verified by applying the numerical examples.
作者
王有刚
WANG You-gang(Department of Mathematics,Luliang University,Luliang 033001,China)
出处
《数学的实践与认识》
北大核心
2020年第15期285-292,共8页
Mathematics in Practice and Theory
基金
山西省自然科学青年基金(201901D211449)。
