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Erschienen in: Neural Computing and Applications 2/2015

01.02.2015 | Original Article

Stability of uncertain impulsive stochastic fuzzy neural networks with two additive time delays in the leakage term

verfasst von: Jun Li, Manfeng Hu, Liuxiao Guo, Yongqing Yang, Yinghua Jin

Erschienen in: Neural Computing and Applications | Ausgabe 2/2015

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Abstract

This paper is concerned with the stability problem for a class of impulsive neural networks model, which includes simultaneously parameter uncertainties, stochastic disturbances and two additive time-varying delays in the leakage term. By constructing a suitable Lyapunov–Krasovskii functional that uses the information on the lower and upper bound of the delay sufficiently, a delay-dependent stability criterion is derived by using the free-weighting matrices method for such Takagi–Sugeno fuzzy uncertain impulsive stochastic recurrent neural networks. The obtained conditions are expressed with linear matrix inequalities (LMIs) whose feasibility can be checked easily by MATLAB LMI Control toolbox. Finally, the theoretical result is validated by simulations.

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Metadaten
Titel
Stability of uncertain impulsive stochastic fuzzy neural networks with two additive time delays in the leakage term
verfasst von
Jun Li
Manfeng Hu
Liuxiao Guo
Yongqing Yang
Yinghua Jin
Publikationsdatum
01.02.2015
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 2/2015
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1737-3

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