Stability of linear constant system with linear impulse

Hongliang Geng; Guangren Duan

doi:10.1109/CHICC.2006.4347405

Stability of linear constant system with linear impulse

Hongliang Geng^*
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The stability problem of linear constant system with linear impulse is considered in the paper. By using the motion equation and Lyapunov function method some important sufficient conditions are obtained. With some general limitations, a sufficient and necessary condition is established. Furthermore, the impulsive control matrix of the system could be obtained with the help of the linear matrix inequality (LMI). Finally, an impulsive control matrix design method based on MATLAB software is presented, and a numerical example is given to illustrate the efficiency of the main results in this paper.

Original language	English
Title of host publication	Proceedings of the 26th Chinese Control Conference, CCC 2007
Pages	76-79
Number of pages	4
DOIs	https://doi.org/10.1109/CHICC.2006.4347405
State	Published - 2007
Event	26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China Duration: 26 Jul 2007 → 31 Jul 2007

Publication series

Name	Proceedings of the 26th Chinese Control Conference, CCC 2007

Conference

Conference	26th Chinese Control Conference, CCC 2007
Country/Territory	China
City	Zhangjiajie
Period	26/07/07 → 31/07/07

Keywords

Impulsive system
LMI
Lyapunov
Stability

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10.1109/CHICC.2006.4347405

Cite this

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title = "Stability of linear constant system with linear impulse",

abstract = "The stability problem of linear constant system with linear impulse is considered in the paper. By using the motion equation and Lyapunov function method some important sufficient conditions are obtained. With some general limitations, a sufficient and necessary condition is established. Furthermore, the impulsive control matrix of the system could be obtained with the help of the linear matrix inequality (LMI). Finally, an impulsive control matrix design method based on MATLAB software is presented, and a numerical example is given to illustrate the efficiency of the main results in this paper.",

keywords = "Impulsive system, LMI, Lyapunov, Stability",

author = "Hongliang Geng and Guangren Duan",

year = "2007",

doi = "10.1109/CHICC.2006.4347405",

language = "英语",

isbn = "7900719229",

series = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

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booktitle = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

note = "26th Chinese Control Conference, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",

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TY - GEN

T1 - Stability of linear constant system with linear impulse

AU - Geng, Hongliang

AU - Duan, Guangren

PY - 2007

Y1 - 2007

N2 - The stability problem of linear constant system with linear impulse is considered in the paper. By using the motion equation and Lyapunov function method some important sufficient conditions are obtained. With some general limitations, a sufficient and necessary condition is established. Furthermore, the impulsive control matrix of the system could be obtained with the help of the linear matrix inequality (LMI). Finally, an impulsive control matrix design method based on MATLAB software is presented, and a numerical example is given to illustrate the efficiency of the main results in this paper.

AB - The stability problem of linear constant system with linear impulse is considered in the paper. By using the motion equation and Lyapunov function method some important sufficient conditions are obtained. With some general limitations, a sufficient and necessary condition is established. Furthermore, the impulsive control matrix of the system could be obtained with the help of the linear matrix inequality (LMI). Finally, an impulsive control matrix design method based on MATLAB software is presented, and a numerical example is given to illustrate the efficiency of the main results in this paper.

KW - Impulsive system

KW - LMI

KW - Lyapunov

KW - Stability

UR - https://www.scopus.com/pages/publications/37749007818

U2 - 10.1109/CHICC.2006.4347405

DO - 10.1109/CHICC.2006.4347405

M3 - 会议稿件

AN - SCOPUS:37749007818

SN - 7900719229

SN - 9787900719225

T3 - Proceedings of the 26th Chinese Control Conference, CCC 2007

SP - 76

EP - 79

BT - Proceedings of the 26th Chinese Control Conference, CCC 2007

T2 - 26th Chinese Control Conference, CCC 2007

Y2 - 26 July 2007 through 31 July 2007

ER -

Stability of linear constant system with linear impulse

Abstract

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Keywords

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