一类比例时滞神经网络的全局多项式同步性  

Global polynomial synchronization of a class of proportional delay neural networks

作　　者：万言 周立群[1] WAN Yan;ZHOU Liqun(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2024年第3期7-12,共6页Journal of Tianjin Normal University：Natural Science Edition

摘　　要：以一类比例时滞神经网络作为驱动-响应系统,研究该驱动-响应系统的全局多项式同步性.通过选择反馈控制器,构造Lyapunov泛函,运用不等式分析技巧,得到了该系统全局多项式同步性的判定准则.该准则以矩阵不等式的形式给出,易于应用计算机软件验证.最后,通过一个数值算例及仿真验证同步性判定准则的正确性.Taking a class of proportional delay neural networks as the drive-response systems,the global polynomial synchro-nization of the drive-response systems is studied.By using a feedback controller,constructing an appropriate Lyapunov func-tional and using analysis techniques such as mean value inequality,a criterion for determining the global polynomial synchro-nization of the studied drive-response systems is obtained.The criterion is displayed in the form of matrix inequality,which is easy to be verified with computer software.Finally,the correctness of the synchronization criterion is verified by a numerical example and its simulations.

关 键 词：比例时滞 神经网络 多项式同步性 LYAPUNOV泛函 

分 类 号：O175.13[理学—数学] TP183[理学—基础数学]