New delay-dependent robust exponential stability criteria of LPD neutral systems with mixed time-varying delays and nonlinear perturbations
type: Item
instance of: scholarly article
title: New delay-dependent robust exponential stability criteria of LPD neutral systems with mixed time-varying delays and nonlinear perturbations
zbMATH Open document ID: 1397.34138
DOI: 10.1155/2013/268905
author: Sirada Pinjai
author: Kanit Mukdasai
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy's inequality, modified version of Jensen's inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 6950592
Wikidata QID: Q59002468
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/268905
OpenAlex ID: W1973155399
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description: scientific article; zbMATH DE number 6950592