Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay

This paper focuses on the problem of dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems (DTNSNSs) with time delay and parameter uncertainties. Different from the existing results on this topic of neutral system, a kind of discretizing the neutral system is consi...

Full description

Saved in:
Bibliographic Details
Main Authors: Shengchun Yu, Yanzhen Pang, Guici Chen, Xin Zhou
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/9932134
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850231894536355840
author Shengchun Yu
Yanzhen Pang
Guici Chen
Xin Zhou
author_facet Shengchun Yu
Yanzhen Pang
Guici Chen
Xin Zhou
author_sort Shengchun Yu
collection DOAJ
description This paper focuses on the problem of dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems (DTNSNSs) with time delay and parameter uncertainties. Different from the existing results on this topic of neutral system, a kind of discretizing the neutral system is considered. Firstly, a sufficient condition of the dissipativity, which is dependent on the solution of the Lyapunov–Krasovskii technique and linear matrix inequalities (LMIs), is established. Moreover, the state-feedback controller is designed to guarantee the dissipative performance of the closed-loop system. The effectiveness of the theoretical results is finally demonstrated by a numerical example.
format Article
id doaj-art-093f38aa6f144e13b3fafe20006580eb
institution OA Journals
issn 1026-0226
1607-887X
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-093f38aa6f144e13b3fafe20006580eb2025-08-20T02:03:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/99321349932134Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time DelayShengchun Yu0Yanzhen Pang1Guici Chen2Xin Zhou3Hubei Province Key Laboratory of System Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430065, ChinaCollege of Science, Wuhan University of Science and Technology, Wuhan 430065, ChinaHubei Province Key Laboratory of System Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430065, ChinaCollege of Science, Wuhan University of Science and Technology, Wuhan 430065, ChinaThis paper focuses on the problem of dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems (DTNSNSs) with time delay and parameter uncertainties. Different from the existing results on this topic of neutral system, a kind of discretizing the neutral system is considered. Firstly, a sufficient condition of the dissipativity, which is dependent on the solution of the Lyapunov–Krasovskii technique and linear matrix inequalities (LMIs), is established. Moreover, the state-feedback controller is designed to guarantee the dissipative performance of the closed-loop system. The effectiveness of the theoretical results is finally demonstrated by a numerical example.http://dx.doi.org/10.1155/2021/9932134
spellingShingle Shengchun Yu
Yanzhen Pang
Guici Chen
Xin Zhou
Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay
Discrete Dynamics in Nature and Society
title Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay
title_full Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay
title_fullStr Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay
title_full_unstemmed Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay
title_short Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay
title_sort dissipativity analysis for a class of discrete time neutral stochastic nonlinear systems with time delay
url http://dx.doi.org/10.1155/2021/9932134
work_keys_str_mv AT shengchunyu dissipativityanalysisforaclassofdiscretetimeneutralstochasticnonlinearsystemswithtimedelay
AT yanzhenpang dissipativityanalysisforaclassofdiscretetimeneutralstochasticnonlinearsystemswithtimedelay
AT guicichen dissipativityanalysisforaclassofdiscretetimeneutralstochasticnonlinearsystemswithtimedelay
AT xinzhou dissipativityanalysisforaclassofdiscretetimeneutralstochasticnonlinearsystemswithtimedelay