Stabilization of neutral stochastic delay differential equations by discrete-time feedback control

Stabilization of neutral stochastic delay differential equations by discrete-time feedback control

This paper is concerned with the problem of stabilization for neutral stochastic delay differential equations by feedback control based on discrete-time state observations. Firstly, sufficient conditions that ensure the mean-square exponential stability of the controlled system are established. Then...

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Main Authors: Shi Maiou, Li Yuyuan, Kou Chunhai
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2018-06-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
neutral stochastic differential equations;stabilization;discrete-time feedback control;Razumikhin technique
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20180303
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spelling doaj-2673c1cd71a649b6a5727ee0dccced8d2020-11-25T00:33:02ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372018-06-0147328028910.3969/J.ISSN.100-5137.2018.03.003201803000003Stabilization of neutral stochastic delay differential equations by discrete-time feedback controlShi Maiou0Li Yuyuan1Kou Chunhai2College of Science, Donghua University, Shanghai 201620, ChinaCollege of Information Science and Technology, Donghua University, Shanghai 201620, ChinaCollege of Science, Donghua University, Shanghai 201620, ChinaThis paper is concerned with the problem of stabilization for neutral stochastic delay differential equations by feedback control based on discrete-time state observations. Firstly, sufficient conditions that ensure the mean-square exponential stability of the controlled system are established. Then the linear matrix inequalities (LMIs) approach is employed to design the discrete-time feedback controller. Finally, an illustrative example is presented to show the effectiveness of the proposed results.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20180303neutral stochastic differential equations;stabilization;discrete-time feedback control;Razumikhin technique
collection DOAJ
language English
format Article
sources DOAJ
author Shi Maiou
Li Yuyuan
Kou Chunhai
spellingShingle Shi Maiou
Li Yuyuan
Kou Chunhai
Stabilization of neutral stochastic delay differential equations by discrete-time feedback control
Journal of Shanghai Normal University (Natural Sciences)
neutral stochastic differential equations;stabilization;discrete-time feedback control;Razumikhin technique
author_facet Shi Maiou
Li Yuyuan
Kou Chunhai
author_sort Shi Maiou
title Stabilization of neutral stochastic delay differential equations by discrete-time feedback control
title_short Stabilization of neutral stochastic delay differential equations by discrete-time feedback control
title_full Stabilization of neutral stochastic delay differential equations by discrete-time feedback control
title_fullStr Stabilization of neutral stochastic delay differential equations by discrete-time feedback control
title_full_unstemmed Stabilization of neutral stochastic delay differential equations by discrete-time feedback control
title_sort stabilization of neutral stochastic delay differential equations by discrete-time feedback control
publisher Academic Journals Center of Shanghai Normal University
series Journal of Shanghai Normal University (Natural Sciences)
issn 1000-5137
1000-5137
publishDate 2018-06-01
description This paper is concerned with the problem of stabilization for neutral stochastic delay differential equations by feedback control based on discrete-time state observations. Firstly, sufficient conditions that ensure the mean-square exponential stability of the controlled system are established. Then the linear matrix inequalities (LMIs) approach is employed to design the discrete-time feedback controller. Finally, an illustrative example is presented to show the effectiveness of the proposed results.
topic neutral stochastic differential equations;stabilization;discrete-time feedback control;Razumikhin technique
url http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20180303
work_keys_str_mv AT shimaiou stabilizationofneutralstochasticdelaydifferentialequationsbydiscretetimefeedbackcontrol
AT liyuyuan stabilizationofneutralstochasticdelaydifferentialequationsbydiscretetimefeedbackcontrol
AT kouchunhai stabilizationofneutralstochasticdelaydifferentialequationsbydiscretetimefeedbackcontrol
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