Robust filtering for Markovian jumping static neural networks with time-varying delays

The problem of robust H ∞ filtering for Markovian jumping static neural networks with time-varying delays is considered in this paper. The effect of the activation function on the time delays is comprehensively considered. Based on Wirtinger inequality, a new inequality is quoted to solve the Lyapun...

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Bibliographic Details
Main Authors: Aodong Zhao, Nan Zhang, Maolong Xi, Jun Sun, Meiyan Dong
Format: Article
Language:English
Published: SAGE Publishing 2020-06-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1177/1748302620931340
Description
Summary:The problem of robust H ∞ filtering for Markovian jumping static neural networks with time-varying delays is considered in this paper. The effect of the activation function on the time delays is comprehensively considered. Based on Wirtinger inequality, a new inequality is quoted to solve the Lyapunov functions with the double-integral terms. Then, a less conservative result on the robust H ∞ filtering is obtained, which guarantees the resulting error systems stochastically stable and satisfies a prescribed H ∞ performance index. The effectiveness of the developed results is finally demonstrated by numerical examples.
ISSN:1748-3026