Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are de...

Full description

Bibliographic Details
Main Authors: Jingting Hu, Guixia Sui, Shengli Du, Xiaodi Li
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/2538904
id doaj-d9681f76430548209e20c2c231c4c058
record_format Article
spelling doaj-d9681f76430548209e20c2c231c4c0582020-11-25T01:02:34ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/25389042538904Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying DelayJingting Hu0Guixia Sui1Shengli Du2Xiaodi Li3School of Mathematical Sciences, University of Jinan, Jinan 250022, ChinaPrimary Education Department, Jinan Preschool Education College, Jinan 250307, ChinaCollege of Automation, Beijing University of Technology, Beijing 100124, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaThe problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.http://dx.doi.org/10.1155/2017/2538904
collection DOAJ
language English
format Article
sources DOAJ
author Jingting Hu
Guixia Sui
Shengli Du
Xiaodi Li
spellingShingle Jingting Hu
Guixia Sui
Shengli Du
Xiaodi Li
Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay
Mathematical Problems in Engineering
author_facet Jingting Hu
Guixia Sui
Shengli Du
Xiaodi Li
author_sort Jingting Hu
title Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay
title_short Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay
title_full Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay
title_fullStr Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay
title_full_unstemmed Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay
title_sort finite-time stability of uncertain nonlinear systems with time-varying delay
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.
url http://dx.doi.org/10.1155/2017/2538904
work_keys_str_mv AT jingtinghu finitetimestabilityofuncertainnonlinearsystemswithtimevaryingdelay
AT guixiasui finitetimestabilityofuncertainnonlinearsystemswithtimevaryingdelay
AT shenglidu finitetimestabilityofuncertainnonlinearsystemswithtimevaryingdelay
AT xiaodili finitetimestabilityofuncertainnonlinearsystemswithtimevaryingdelay
_version_ 1725204206416035840

Similar Items