On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations

On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations

This paper addresses the problem of stability analysis of systems with delayed time-varying perturbations. Some sufficient conditions for a class of linear time-varying systems with nonlinear delayed perturbations are derived by using an improved Lyapunov-Krasovskii functional. The uniform global as...

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Main Authors: Maher Hammami, Mohamed Ali Hammami, Manuel De la Sen
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/641268
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spelling doaj-4ceef0d3dcae42798bae9a497e2457a42020-11-24T23:04:23ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/641268641268On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed PerturbationsMaher Hammami0Mohamed Ali Hammami1Manuel De la Sen2Faculty of Sciences of Sfax, University of Sfax, Route Soukra, BP 1171, 3000 Sfax, TunisiaFaculty of Sciences of Sfax, University of Sfax, Route Soukra, BP 1171, 3000 Sfax, TunisiaDepartamento de Electricidad y Electronica Facultad de Ciencias, Universidad del Pais Vasco Leioa (Bizkaia), Apartado 644, 480809 Bilbao, SpainThis paper addresses the problem of stability analysis of systems with delayed time-varying perturbations. Some sufficient conditions for a class of linear time-varying systems with nonlinear delayed perturbations are derived by using an improved Lyapunov-Krasovskii functional. The uniform global asymptotic stability of the solutions is obtained in terms of convergence toward a neighborhood of the origin.http://dx.doi.org/10.1155/2015/641268
collection DOAJ
language English
format Article
sources DOAJ
author Maher Hammami
Mohamed Ali Hammami
Manuel De la Sen
spellingShingle Maher Hammami
Mohamed Ali Hammami
Manuel De la Sen
On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
Mathematical Problems in Engineering
author_facet Maher Hammami
Mohamed Ali Hammami
Manuel De la Sen
author_sort Maher Hammami
title On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
title_short On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
title_full On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
title_fullStr On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
title_full_unstemmed On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
title_sort on the uniform exponential stability of time-varying systems subject to discrete time-varying delays and nonlinear delayed perturbations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description This paper addresses the problem of stability analysis of systems with delayed time-varying perturbations. Some sufficient conditions for a class of linear time-varying systems with nonlinear delayed perturbations are derived by using an improved Lyapunov-Krasovskii functional. The uniform global asymptotic stability of the solutions is obtained in terms of convergence toward a neighborhood of the origin.
url http://dx.doi.org/10.1155/2015/641268
work_keys_str_mv AT maherhammami ontheuniformexponentialstabilityoftimevaryingsystemssubjecttodiscretetimevaryingdelaysandnonlineardelayedperturbations
AT mohamedalihammami ontheuniformexponentialstabilityoftimevaryingsystemssubjecttodiscretetimevaryingdelaysandnonlineardelayedperturbations
AT manueldelasen ontheuniformexponentialstabilityoftimevaryingsystemssubjecttodiscretetimevaryingdelaysandnonlineardelayedperturbations
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