Exponential stabilization of a class of time-varying delay systems with nonlinear perturbations
type: Item
instance of: scholarly article
title: Exponential stabilization of a class of time-varying delay systems with nonlinear perturbations
zbMATH Open document ID: 1394.93274
DOI: 10.1155/2015/737949
author: Yazhou Tian
author: Yuanli Cai
author: Tongxing Li
author: Yuangong Sun
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper addresses the problem of exponential stabilization of a class of time-varying delay systems with nonlinear perturbations. These perturbations are related not only with current state \(x \left(t\right)\) and the delayed state \(x \left(t - h \left(t\right)\right)\) but also with \(\beta \left(t\right)\), where \(\beta \left(t\right)\) is a continuous function defined on \([0, + \infty)\). With the delay interval divided into two equidistant subintervals, a novel Lyapunov functional is introduced, and several new exponential stabilization criteria are derived in terms of linear matrix inequalities (LMIs) by employing reciprocally convex approach. Two examples are given to illustrate the effectiveness of the main results.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 6927126
Wikidata QID: Q59119087
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/737949
OpenAlex ID: W2114227054
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description: scientific article; zbMATH DE number 6927126