Improved generalized \(H_2\) filtering for static neural networks with time-varying delay via free-matrix-based integral inequality
type: Item
instance of: scholarly article
title: Improved generalized \(H_2\) filtering for static neural networks with time-varying delay via free-matrix-based integral inequality
zbMATH Open document ID: 1427.93066
DOI: 10.1155/2018/5147565
author: Hui-Jun Yu
author: Yong He
author: Min Wu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper focuses on the generalized \(H_2\) 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 \(H_2\) 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 \(H_2\) filtering problem is established in terms of LMIs. Finally, a numerical example is presented to show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7019083
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5147565
OpenAlex ID: W2787781553
cites work: Improved \(H _{\infty }\) filtering for systems with a time-varying delay
cites work: Delay-Dependent $H_{\infty}$ and Generalized $H_{2}$ Filtering for Delayed Neural Networks
cites work: New filter design for static neural networks with mixed time-varying delays
cites work: Improved results on guaranteed generalized \(\mathcal H_2\) performance state estimation for delayed static neural networks
cites work: Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
cites work: Stability analysis of systems with time-varying delay via relaxed integral inequalities
cites work: Delay-dependent stability analysis of neural networks with time-varying delay: a generalized free-weighting-matrix approach
cites work: Improved delay-range-dependent stability criteria for linear systems with time-varying delays
cites work: Stability analysis of time-delay systems via free-matrix-based double integral inequality
description: scientific article; zbMATH DE number 7019083