Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations

Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations

In this study, we focus on stability analysis for systems with time-varying delay and nonlinear perturbations. In order to cut down the conservatism of the existing stability criteria, we utilize the triple integral forms of Lyapunov-Krasovskii functional (LKF). In addition, by using single and doub...

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Main Authors: Jie Sun, Jing Zhang
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/5941757
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spelling doaj-c832ddb38daf4261b67504bc3c56591b2020-11-25T00:44:59ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/59417575941757Further Stability Analysis of Time-Delay Systems with Nonlinear PerturbationsJie Sun0Jing Zhang1School of Computer Science & Software Engineering, Tianjin Polytechnic University, Tianjin 300387, ChinaTianjin Vocational Institute, Tianjin 300410, ChinaIn this study, we focus on stability analysis for systems with time-varying delay and nonlinear perturbations. In order to cut down the conservatism of the existing stability criteria, we utilize the triple integral forms of Lyapunov-Krasovskii functional (LKF). In addition, by using single and double integral forms of Wirtinger-based inequality, we overcome some conservatism which come from Jensen’s inequality. Three well-known numerical examples are given at the end. Compared with some existing results, our results have less conservatism.http://dx.doi.org/10.1155/2017/5941757
collection DOAJ
language English
format Article
sources DOAJ
author Jie Sun
Jing Zhang
spellingShingle Jie Sun
Jing Zhang
Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
Mathematical Problems in Engineering
author_facet Jie Sun
Jing Zhang
author_sort Jie Sun
title Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
title_short Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
title_full Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
title_fullStr Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
title_full_unstemmed Further Stability Analysis of Time-Delay Systems with Nonlinear Perturbations
title_sort further stability analysis of time-delay systems with nonlinear perturbations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description In this study, we focus on stability analysis for systems with time-varying delay and nonlinear perturbations. In order to cut down the conservatism of the existing stability criteria, we utilize the triple integral forms of Lyapunov-Krasovskii functional (LKF). In addition, by using single and double integral forms of Wirtinger-based inequality, we overcome some conservatism which come from Jensen’s inequality. Three well-known numerical examples are given at the end. Compared with some existing results, our results have less conservatism.
url http://dx.doi.org/10.1155/2017/5941757
work_keys_str_mv AT jiesun furtherstabilityanalysisoftimedelaysystemswithnonlinearperturbations
AT jingzhang furtherstabilityanalysisoftimedelaysystemswithnonlinearperturbations
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