Stochastic impulsive control for the stabilization of Lorenz system

Liang Wang; Rui Zhao; Wei Xu; Ying Zhang

doi:10.1088/1674-1056/20/2/020506

Stochastic impulsive control for the stabilization of Lorenz system

Liang Wang, Rui Zhao, Wei Xu, Ying Zhang

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

This paper derives some sufficient conditions for the stabilization of Lorenz system with stochastic impulsive control. The estimate of the upper bound of impulse interval for asymptotically stable control is obtained. Some differences between the system with stochastic impulsive control and with deterministic impulsive control are presented. Computer simulation is given to show the effectiveness of the proposed method.

源语言	英语
文章编号	020506
期刊	Chinese Physics B
卷	20
期	2
DOI	https://doi.org/10.1088/1674-1056/20/2/020506
出版状态	已出版 - 2月 2011

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title = "Stochastic impulsive control for the stabilization of Lorenz system",

abstract = "This paper derives some sufficient conditions for the stabilization of Lorenz system with stochastic impulsive control. The estimate of the upper bound of impulse interval for asymptotically stable control is obtained. Some differences between the system with stochastic impulsive control and with deterministic impulsive control are presented. Computer simulation is given to show the effectiveness of the proposed method.",

keywords = "Lorenz system, stabilization, stochastic impulsive control",

author = "Liang Wang and Rui Zhao and Wei Xu and Ying Zhang",

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doi = "10.1088/1674-1056/20/2/020506",

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T1 - Stochastic impulsive control for the stabilization of Lorenz system

AU - Wang, Liang

AU - Zhao, Rui

AU - Xu, Wei

AU - Zhang, Ying

PY - 2011/2

Y1 - 2011/2

N2 - This paper derives some sufficient conditions for the stabilization of Lorenz system with stochastic impulsive control. The estimate of the upper bound of impulse interval for asymptotically stable control is obtained. Some differences between the system with stochastic impulsive control and with deterministic impulsive control are presented. Computer simulation is given to show the effectiveness of the proposed method.

AB - This paper derives some sufficient conditions for the stabilization of Lorenz system with stochastic impulsive control. The estimate of the upper bound of impulse interval for asymptotically stable control is obtained. Some differences between the system with stochastic impulsive control and with deterministic impulsive control are presented. Computer simulation is given to show the effectiveness of the proposed method.

KW - Lorenz system

KW - stabilization

KW - stochastic impulsive control

UR - http://www.scopus.com/inward/record.url?scp=79952415905&partnerID=8YFLogxK

U2 - 10.1088/1674-1056/20/2/020506

DO - 10.1088/1674-1056/20/2/020506

M3 - 文章

AN - SCOPUS:79952415905

SN - 1674-1056

VL - 20

JO - Chinese Physics B

JF - Chinese Physics B

IS - 2

M1 - 020506

ER -

Stochastic impulsive control for the stabilization of Lorenz system

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