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Zbl 1236.93004
Balasubramaniam, P.; Kalpana, M.; Rakkiyappan, R.
State estimation for fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays. (English)
[J] Comput. Math. Appl. 62, No. 10, 3959-3972 (2011). ISSN 0898-1221

Summary: This paper deals with the problem of state estimation for fuzzy cellular neural networks (FCNNs) with time delay in the leakage term, discrete and unbounded distributed delays. In this paper, leakage delay in the leakage term is used to unstable the neuron states. It is challenging to develop a delay dependent condition to estimate the unstable neuron states through available output measurements such that the error-state system is globally asymptotically stable. By constructing the Lyapunov-Krasovskii functional which contains a triple-integral term, an improved delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). However, by using the free-weighting matrices method, a simple and efficient criterion is derived in terms of LMIs for estimation. The restriction such as the time-varying delay which was required to be differentiable or even its time-derivative which was assumed to be smaller than one, are removed. Instead, the time-varying delay is only assumed to be bounded. Finally, numerical examples and its simulations are given to demonstrate the effectiveness of the derived results.

MSC 2000:: *93A14 Decentralized systems
34K36
15A39 Linear inequalities
93B07 Observability

Keywords: global asymptotical stability; fuzzy cellular neural networks; leakage delay; linear matrix inequalities; state estimation; unbounded distributed delays

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