State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method

This paper focuses on the problem of state estimation for certain switched time-varying systems with time-varying delay and nonlinear disturbance. By using an integral inequality technique and a method used in positive systems, we have established several explicit criteria for state estimation of th...

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Main Authors: Fanwei Meng, Yuangong Sun
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/3234295
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author Fanwei Meng
Yuangong Sun
author_facet Fanwei Meng
Yuangong Sun
author_sort Fanwei Meng
collection DOAJ
description This paper focuses on the problem of state estimation for certain switched time-varying systems with time-varying delay and nonlinear disturbance. By using an integral inequality technique and a method used in positive systems, we have established several explicit criteria for state estimation of the system, which reduce to stability criteria for some particular cases. The involved nonlinear disturbance of the system takes more general form including both the internal disturbance and the external disturbance. Three numerical examples are also given to verify the validity of the obtained theoretical results.
format Article
id doaj-art-81b7b731de024ae289c9a07c16588f5d
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-81b7b731de024ae289c9a07c16588f5d2025-02-03T01:30:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/32342953234295State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality MethodFanwei Meng0Yuangong Sun1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaThis paper focuses on the problem of state estimation for certain switched time-varying systems with time-varying delay and nonlinear disturbance. By using an integral inequality technique and a method used in positive systems, we have established several explicit criteria for state estimation of the system, which reduce to stability criteria for some particular cases. The involved nonlinear disturbance of the system takes more general form including both the internal disturbance and the external disturbance. Three numerical examples are also given to verify the validity of the obtained theoretical results.http://dx.doi.org/10.1155/2019/3234295
spellingShingle Fanwei Meng
Yuangong Sun
State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method
Discrete Dynamics in Nature and Society
title State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method
title_full State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method
title_fullStr State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method
title_full_unstemmed State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method
title_short State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method
title_sort state estimation for switched time varying systems with delay and nonlinear disturbance an integral inequality method
url http://dx.doi.org/10.1155/2019/3234295
work_keys_str_mv AT fanweimeng stateestimationforswitchedtimevaryingsystemswithdelayandnonlineardisturbanceanintegralinequalitymethod
AT yuangongsun stateestimationforswitchedtimevaryingsystemswithdelayandnonlineardisturbanceanintegralinequalitymethod