ENHANCED STABILITY CONDITIONS OF TIME-DELAYED GENERALIZED NEURAL NETWORKS VIA A NOVEL LYAPUNOV FUNCTIONAL

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL(2021)

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摘要
This paper is devoted to discussion of the, stability analysis of time-delayed generalized neural networks. A modified Lyapunov-Krasovskii functional (LKF) is constructed by combining the delay-product-type functional with delay-dependent matrices. The augmented LKF contains more coupling information of the nonlinearity, the time delay intervals and other state variables, which can further reduce the conservativeness of stability criteria. Moreover, to further show the validity of the modified LKF, two corollaries are also given under other related simplified LKFs. Finally, some common numerical examples are presented to show the effectiveness of the proposed approach.
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关键词
Delay-product-type functional, Delay-dependent matrices, Lyapunov stability theory, Linear matrix inequality, Neural networks
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