Abstract—This paper is considered with problem of the passivity analysis for neutral-type neural networks with mixed time-varying delays. By constructing an augmented Lyapunov -Krasovskii functionals and using the double integral inequality with approach to estimate the derivative of the Lyapunov- Krasovskii functionals, sufficient conditions are established to ensure the passivity of the considered neutral-type neural networks, in which some useful information on the neuron activation function ignored in the existing literature is taken in to account. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
Index Terms—Passivity, neutral-type neural networks, time delay, integral inequality.
T. Botmart and W. Weera are with the Department of Mathematics, Khon Kaen University, Khon Kaen 40000, Thailand (e-mail: thongbo@kku.ac.th, kanit@kku.ac.th).
N. Yotha is with Department of Applied Mathematics and Statistics, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand (e-mail: narongsak.yo@rmuti.ac.th).
K. Mukdasai is with the Department of Mathematics, University of Pha Yao, Pha Yao 56000, Thailand (e-mail: wajaree@up.ac.th).
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Cite:T. Botmart, N. Yotha, K. Mukdasai, and W. Weera, "Improved Results on Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays," International Journal of Information and Electronics Engineering vol. 8, no. 3, pp. 30-35, 2018.
