Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay

Yanan Jiang; Liangjian Hu; Jianqiu Lu; Wei Mao; Xuerong Mao

doi:10.1049/cth2.12160

Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay

Yanan Jiang, Liangjian Hu, Jianqiu Lu, Wei Mao, Xuerong Mao

Mathematics And Statistics

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Abstract

This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete-time state observations with a time delay. First, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.

Original language	English
Article number	2039-2052
Pages (from-to)	2039-2052
Number of pages	14
Journal	IET Control Theory and Applications
Volume	15
Issue number	16
Early online date	17 Aug 2021
DOIs	https://doi.org/10.1049/cth2.12160
Publication status	Published - 1 Nov 2021

Keywords

intermittent stabilization
feedback control
discrete-time state observations
time delay
hybrid stochastic differential equations (SDEs)

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10.1049/cth2.12160Licence: CC BY 4.0

Jiang-etal-IETCTA-2021-Stabilization-of-hybrid-systems-by-intermittent-feedback-controlsFinal published version, 921 KBLicence: CC BY 4.0

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abstract = "This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete-time state observations with a time delay. First, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.",

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AU - Jiang, Yanan

AU - Hu, Liangjian

AU - Lu, Jianqiu

AU - Mao, Wei

AU - Mao, Xuerong

PY - 2021/11/1

Y1 - 2021/11/1

N2 - This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete-time state observations with a time delay. First, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.

AB - This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete-time state observations with a time delay. First, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.

KW - intermittent stabilization

KW - feedback control

KW - discrete-time state observations

KW - time delay

KW - hybrid stochastic differential equations (SDEs)

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DO - 10.1049/cth2.12160

M3 - Article

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M1 - 2039-2052

ER -

Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay

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