New stability analysis for linear systems with time-varying delay based on combined convex technique
type: Item
instance of: scholarly article
title: New stability analysis for linear systems with time-varying delay based on combined convex technique
zbMATH Open document ID: 1394.93286
DOI: 10.1155/2015/425864
author: Bin Yang
author: Chen-xin Fan
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A novel combined convex method is developed for the stability of linear systems with a time-varying delay. A new delay-dependent stability condition expressed in terms of linear matrix inequalities (LMIs) is derived by employing a dedicated constructed Lyapunov-Krasovskii functional (LKF), utilizing the Wirtinger inequality and the reciprocally convex approach to handle the integral term of quadratic quantities. Different from the previous convex techniques which only tackle the time-varying delay, our method adopts the idea of combined convex technique which can tackle not only the delay but also the delay variation. Four well-known examples are illustrated to show the effectiveness of the proposed results.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6926324
Wikidata QID: Q59118540
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/425864
OpenAlex ID: W2050613907
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description: scientific article; zbMATH DE number 6926324