mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays

mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays

In this paper, the μ-stability analysis issue of nonlinear differential systems along with two kinds of delay components, namely, leakage delay and transmission delay, is investigated. By constructing a suitable Lyapunov–Krasovskii's functional and utilizing Finsler's lemma, some novel μ-...

Full description

Bibliographic Details
Main Authors: Xiaoxiao Lv, Rajan Rakkiyappan, Xiaodi Li
Format: Article
Language:English
Published: Vilnius University Press 2018-06-01
Series:Nonlinear Analysis
Subjects:
μ-stability
leakage delay
linear matrix inequality (LMI)
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13192
id doaj-50d39c26ec6b49e991de9e45351850f0
record_format Article
spelling doaj-50d39c26ec6b49e991de9e45351850f02020-11-24T21:56:05ZengVilnius University PressNonlinear Analysis1392-51132335-89632018-06-0123310.15388/NA.2018.3.6mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delaysXiaoxiao Lv0Rajan Rakkiyappan1Xiaodi Li2Shandong Normal University; Southeast University, ChinaBharathiar University, IndiaShandong Normal University, China In this paper, the μ-stability analysis issue of nonlinear differential systems along with two kinds of delay components, namely, leakage delay and transmission delay, is investigated. By constructing a suitable Lyapunov–Krasovskii's functional and utilizing Finsler's lemma, some novel μ-stability criteria for the concerned nonlinear system are obtained. These criteria are expressed in the framework of linear matrix inequalities (LMIs), which can be verified easily by means of standard software. Finally, two examples are presented to exhibit the advantage and effectiveness of the proposed theoretical results. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13192μ-stabilityleakage delaylinear matrix inequality (LMI)
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoxiao Lv
Rajan Rakkiyappan
Xiaodi Li
spellingShingle Xiaoxiao Lv
Rajan Rakkiyappan
Xiaodi Li
mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
Nonlinear Analysis
μ-stability
leakage delay
linear matrix inequality (LMI)
author_facet Xiaoxiao Lv
Rajan Rakkiyappan
Xiaodi Li
author_sort Xiaoxiao Lv
title mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
title_short mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
title_full mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
title_fullStr mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
title_full_unstemmed mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
title_sort mu-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2018-06-01
description In this paper, the μ-stability analysis issue of nonlinear differential systems along with two kinds of delay components, namely, leakage delay and transmission delay, is investigated. By constructing a suitable Lyapunov–Krasovskii's functional and utilizing Finsler's lemma, some novel μ-stability criteria for the concerned nonlinear system are obtained. These criteria are expressed in the framework of linear matrix inequalities (LMIs), which can be verified easily by means of standard software. Finally, two examples are presented to exhibit the advantage and effectiveness of the proposed theoretical results.
topic μ-stability
leakage delay
linear matrix inequality (LMI)
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13192
work_keys_str_mv AT xiaoxiaolv mustabilitycriteriafornonlineardifferentialsystemswithadditiveleakageandtransmissiontimevaryingdelays
AT rajanrakkiyappan mustabilitycriteriafornonlineardifferentialsystemswithadditiveleakageandtransmissiontimevaryingdelays
AT xiaodili mustabilitycriteriafornonlineardifferentialsystemswithadditiveleakageandtransmissiontimevaryingdelays
_version_ 1725859642724057088

Similar Items