Weighted \(H_{\infty}\) filtering for a class of switched linear systems with additive time-varying delays
type: Item
instance of: scholarly article
title: Weighted \(H_{\infty}\) filtering for a class of switched linear systems with additive time-varying delays
zbMATH Open document ID: 1394.93033
DOI: 10.1155/2015/649487
author: Guangling Zhang
author: Xin Ge
author: Cui-li Jin
author: Lili Li
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper is concerned with the problem of weighted \(H_{\infty}\) filtering for a class of switched linear systems with two additive time-varying delays, which represent a general class of switched time-delay systems with strong practical background. Combining average dwell time (ADT) technique with piecewise Lyapunov functionals, sufficient conditions are established to guarantee the exponential stability and weighted \(H_{\infty}\) performance for the filtering error systems. The parameters of the designed switched filters are obtained by solving linear matrix inequalities (LMIs). A modification of Jensen integral inequality is exploited to derive results with less theoretical conservatism and computational complexity. Finally, two examples are given to demonstrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6926910
Wikidata QID: Q52269815
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/649487
OpenAlex ID: W2003737610
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description: scientific article; zbMATH DE number 6926910