Robust exponential stability criteria of LPD systems with mixed time-varying delays and nonlinear perturbations
type: Item
instance of: scholarly article
title: Robust exponential stability criteria of LPD systems with mixed time-varying delays and nonlinear perturbations
zbMATH Open document ID: 1261.34054
DOI: 10.1155/2012/348418
author: Kanit Mukdasai
author: Akkharaphong Wongphat
author: P. Niamsup
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations. A parameter dependent Lyapunov-Krasovskii functional, the Leibniz-Newton formula, and linear matrix inequalities are proposed for analysing the stability. On the basis of an estimation and by utilizing free-weighting matrices, new delay-dependent exponential stability criteria are established in terms of linear matrix inequalities. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 6134065
zbMATH Keywords: linear parameter-dependent systems
zbMATH Keywords: robust exponential stability
zbMATH Keywords: mixed time-varying delays
Wikidata QID: Q58696372
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/348418
OpenAlex ID: W2116619195
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description: scientific article; zbMATH DE number 6134065