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Improved Generalized Filtering for Static Neural Networks with Time-Varying Delay via Free-Matrix-Based Integral Inequality

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This paper focuses on the generalized filtering of static neural networks with a time-varying delay. The aim of this problem is to design a full-order filter such that the filtering… Click to show full abstract

This paper focuses on the generalized filtering of static neural networks with a time-varying delay. The aim of this problem is to design a full-order filter such that the filtering error system is globally asymptotically stable with guaranteed performance index. By constructing an augmented Lyapunov-Krasovskii functional and applying the free-matrix-based integral inequality to estimate its derivative, an improved delay-dependent condition for the generalized filtering problem is established in terms of LMIs. Finally, a numerical example is presented to show the effectiveness of the proposed method.

Keywords: networks time; neural networks; static neural; generalized filtering; delay; filtering static

Journal Title: Mathematical Problems in Engineering
Year Published: 2018

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