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Zbl 1169.34334
Park, Ju H.; Kwon, O.M.
Further results on state estimation for neural networks of neutral-type with time-varying delay. (English)
[J] Appl. Math. Comput. 208, No. 1, 69-75 (2009). ISSN 0096-3003

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.
[Vyacheslav I. Maksimov (Ekaterinburg)]

MSC 2000:: *34K35 Functional-differential equations connected with control problems
34K40 Neutral equations
92B20 General theory of neural networks

Keywords: neural networks; neutral-type; state estimation; LMI; Lyapunov method

Citations: Zbl 1166.34331

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