Neutral-type of delayed inertial neural networks and their stability analysis using the LMI Approach

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• 作者：S. Lakshmanan^aAuthor Vitae ; C.P. Lim^a ; ^{chee.lim@deakin.edu.au}Author Vitae ; M. Prakash^bAuthor Vitae ; S. Nahavandi^aAuthor Vitae ; P. Balasubramaniam^cAuthor Vitae
• 关键词：Global stability ; Neural networks ; Inertial term ; Linear matrix inequality ; Neutral delay ; Lyapunov&ndash ; Krasovskii functional
• 刊名：Neurocomputing
• 出版年：2017
• 出版时间：22 March 2017
• 年：2017
• 卷：230
• 期：Complete
• 页码：243-250
• 全文大小：1157 K
• 卷排序：230

文摘

A theoretical investigation of neutral-type of delayed inertial neural networks using the Lyapunov stability theory and Linear Matrix Inequality (LMI) approach is presented. Based on a suitable variable transformation, an inertial neural network consisting of second-order differential equations can be converted into a first-order differential model. The sufficient conditions of the delayed inertial neural network are derived by constructing suitable Lyapunov functional candidates, introducing new free weighting matrices, and utilizing the Writinger integral inequality. Through the LMI solution, we analyse the global asymptotic stability condition of the resulting delayed inertial neural network. Simulation examples are presented to demonstrate the effectiveness of the derived analytical results.