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

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Article number	020506
Journal	Chinese Physics B
Volume	20
Issue number	2
DOIs	https://doi.org/10.1088/1674-1056/20/2/020506
State	Published - Feb 2011

Keywords

Lorenz system
stabilization
stochastic impulsive control

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10.1088/1674-1056/20/2/020506

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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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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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Keywords

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