Park, Ju H.; Kwon, O. M. Further results on state estimation for neural networks of neutral-type with time-varying delay. (English) Zbl 1169.34334 Appl. Math. Comput. 208, No. 1, 69-75 (2009). The goal of the work is to estimate the neuron states of a neutral type network with time-varying delays through available output measurements for the first time. The authors consider the same problem for the same class of systems as in their previous work [Appl. Math. Comput. 203, No. 1, 217–223 (2008; Zbl 1166.34331)]. Based on Lyapunov methods and the linear matrix inequality, a novel criterion for the existence of the proposed state estimator of the network is given. This criterion differs from that one derived in [loc. cit.], however, it is proved by the technique analogous to that in the mentioned work. Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) Cited in 69 Documents MSC: 34K35 Control problems for functional-differential equations 34K40 Neutral functional-differential equations 92B20 Neural networks for/in biological studies, artificial life and related topics Keywords:neural networks; neutral-type; state estimation; LMI; Lyapunov method Citations:Zbl 1166.34331 Software:LMI toolbox PDFBibTeX XMLCite \textit{J. H. Park} and \textit{O. M. Kwon}, Appl. Math. Comput. 208, No. 1, 69--75 (2009; Zbl 1169.34334) Full Text: DOI References: [1] Chua, L.; Yang, L., Cellular neural networks: theory and applications, IEEE Transactions on Circuits and Systems I, 35, 257-1290 (1988) [2] Arik, S.; Tavsanoglu, V., On the global asymptotic stability of delayed cellular neural networks, IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications, 47, 571-574 (2000) · Zbl 0997.90095 [3] Park, J. 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