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一类中立型时滞神经网络的稳定性分析

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对一类时变时滞的中立型神经网络进行研究,首先利用同胚映射定理证明了系统平衡点的存在唯一性,其次通过构造适当的Lyapunov泛函并利用矩阵不等式的技巧得到了系统正平衡点全局渐近稳定的充分条件,最后通过2个数值算例来进一步验证所给条件的可行性和理论的正确性.
Stability analysis of a class of neutral time-delay neural networks
In the report,a class of neutral neural networks with time-varying delays was analyzed.The homeo-morphic mapping theorem was used to prove the existence and uniqueness of the equilibrium point.The appro-priate Lyapunov functional was constructed,and the technique of matrix inequalities was used to derive the suffi-cient conditions for the global asymptotic stability of the positive equilibrium point.Finally,a numerical exam-ple was proposed to verify the feasibility of the conditions and the correctness of the theory.

neutral networks systemtime-varying delayshomeomorphic mappingLyapunov functionalglob-al asymptotic stability

田宝单、钱紫舒、徐鑫

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西南科技大学 数理学院,四川 绵阳 621010

中立型神经网络 时变时滞 同胚映射 Lyapunov泛函 全局渐近稳定性

2024

海南大学学报(自然科学版)
海南大学

海南大学学报(自然科学版)

影响因子:0.524
ISSN:1004-1729
年,卷(期):2024.42(3)