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一类比例时滞神经网络的全局多项式同步性

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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。
Global polynomial synchronization of a class of proportional delay neural networks
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.

proportional delayneural networkspolynomial synchronizationLyapunov functional

万言、周立群

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天津师范大学数学科学学院,天津 300387

比例时滞 神经网络 多项式同步性 Lyapunov泛函

2024

天津师范大学学报(自然科学版)
天津师范大学

天津师范大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.311
ISSN:1671-1114
年,卷(期):2024.44(3)
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