Abstract
This paper focuses on designing a \( H_{\infty } \) filter for a class of static neural networks with mixed time-varying delays. Here the mixed time-varying delays contain both discrete and distributed time-varying delays. Based on a Lyapunov-Krasovskii functional combined with a zero equation, a suitable \( H_{\infty } \) filter is obtained for the static neural networks model. The filter can be solved by a linear matrix inequality (LMI). Two numerical examples are presented to validate the proposed method. In addition, the obtained filter can be applied to design the control systems with delays.
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Acknowledgment
This work is supported by the Start-up Foundation for Doctors of East China University of Technology (No. DHBK2012201), the Jiangxi foreign science and technology cooperation plan (No. 20132BDH80007), and the National Natural Science Foundation (Nos. 11565002, 51409047, 61463003, 51567001).
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Liu, G., Zhou, S., Luo, X., Zhang, K. (2016). New Filter Design for Static Neural Networks with Mixed Time-Varying Delays. In: Huang, DS., Jo, KH. (eds) Intelligent Computing Theories and Application. ICIC 2016. Lecture Notes in Computer Science(), vol 9772. Springer, Cham. https://doi.org/10.1007/978-3-319-42294-7_10
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DOI: https://doi.org/10.1007/978-3-319-42294-7_10
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