A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new...

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Main Authors: Jun-kang Tian, Yan-min Liu
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/7090834
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spelling doaj-a8a6e544c85045699f218d274ce44d1d2020-11-25T03:27:59ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/70908347090834A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities MethodJun-kang Tian0Yan-min Liu1School of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, ChinaSchool of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, ChinaThis paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.http://dx.doi.org/10.1155/2020/7090834
collection DOAJ
language English
format Article
sources DOAJ
author Jun-kang Tian
Yan-min Liu
spellingShingle Jun-kang Tian
Yan-min Liu
A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method
Complexity
author_facet Jun-kang Tian
Yan-min Liu
author_sort Jun-kang Tian
title A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method
title_short A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method
title_full A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method
title_fullStr A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method
title_full_unstemmed A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method
title_sort new stability criterion for systems with distributed time-varying delays via mixed inequalities method
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.
url http://dx.doi.org/10.1155/2020/7090834
work_keys_str_mv AT junkangtian anewstabilitycriterionforsystemswithdistributedtimevaryingdelaysviamixedinequalitiesmethod
AT yanminliu anewstabilitycriterionforsystemswithdistributedtimevaryingdelaysviamixedinequalitiesmethod
AT junkangtian newstabilitycriterionforsystemswithdistributedtimevaryingdelaysviamixedinequalitiesmethod
AT yanminliu newstabilitycriterionforsystemswithdistributedtimevaryingdelaysviamixedinequalitiesmethod
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