Stabilization of hybrid neutral stochastic differential delay equations by delay feedback control

This paper is concerned with the problem of exponential mean-square stabilization of hybrid neutral stochastic differential delay equations with Markovian switching by delay feedback control. A delay feedback controller is designed in the drift part so that the controlled system is mean-square expon...

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Bibliographic Details
Published inSystems & control letters Vol. 88; pp. 1 - 13
Main Authors Chen, Weimin, Xu, Shengyuan, Zou, Yun
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.02.2016
Subjects
Control systems
Delay
Delay feedback control
Differential equations
Feedback control
Markovian switching
Mathematical analysis
Neutral stochastic differential delay equation
Stabilization
State feedback
Stochasticity
Neutral stochastic differential delay equation
Stabilization
Delay feedback control
Markovian switching
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Summary:This paper is concerned with the problem of exponential mean-square stabilization of hybrid neutral stochastic differential delay equations with Markovian switching by delay feedback control. A delay feedback controller is designed in the drift part so that the controlled system is mean-square exponentially stable. We discussed two types of structure controls; that is, state feedback and output injection. The stabilization criteria are derived in terms of linear matrix inequalities.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2015.04.004