Stabilization by intermittent control for hybrid stochastic differential delay equations

Wei Mao; Yanan Jiang; Liangjian Hu; Xuerong Mao

doi:10.3934/dcdsb.2021055

Stabilization by intermittent control for hybrid stochastic differential delay equations

Wei Mao, Yanan Jiang, Liangjian Hu, Xuerong Mao

Mathematics And Statistics

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Abstract

This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time τ is bounded by τ ∗. Finally, an example is presented to illustrate our theory.

Original language	English
Pages (from-to)	569-581
Number of pages	13
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	27
Issue number	1
DOIs	https://doi.org/10.3934/dcdsb.2021055
Publication status	Published - 31 Jan 2022

Keywords

stabilization
intermittent control
hybrid stochastic differential delay equations
hybrid differential equations
delay observations

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10.3934/dcdsb.2021055

Mao-etal-DCDS-2021-stabilization-intermittent-control-hybrid-stochastic-differential-delay-equationsFinal published version, 273 KBLicence: Strath_1

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title = "Stabilization by intermittent control for hybrid stochastic differential delay equations",

abstract = "This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time τ is bounded by τ ∗. Finally, an example is presented to illustrate our theory.",

keywords = "stabilization, intermittent control, hybrid stochastic differential delay equations, hybrid differential equations, delay observations",

author = "Wei Mao and Yanan Jiang and Liangjian Hu and Xuerong Mao",

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AU - Hu, Liangjian

AU - Mao, Xuerong

PY - 2022/1/31

Y1 - 2022/1/31

N2 - This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time τ is bounded by τ ∗. Finally, an example is presented to illustrate our theory.

AB - This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time τ is bounded by τ ∗. Finally, an example is presented to illustrate our theory.

KW - stabilization

KW - intermittent control

KW - hybrid stochastic differential delay equations

KW - hybrid differential equations

KW - delay observations

UR - https://www.aimsciences.org/journal/1531-3492

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DO - 10.3934/dcdsb.2021055

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VL - 27

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JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 1

ER -

Stabilization by intermittent control for hybrid stochastic differential delay equations

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Keywords

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Epsrc Doctoral Training Grant

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Stabilization by intermittent control for hybrid stochastic differential delay equations

Abstract

Keywords

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Epsrc Doctoral Training Grant

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