Stability analysis and control of linear neutral systems based on method of semi-discretization

Jie Sheng; Chenhui Shao; Lei Wang; Zonghai Chen; Chao Jiang

doi:10.1109/CCDC.2010.5498913

Stability analysis and control of linear neutral systems based on method of semi-discretization

Jie Sheng, Chenhui Shao, Lei Wang, Zonghai Chen, Chao Jiang

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

Abstract

This paper mainly considers the stability analysis and control of linear neutral systems with multiple time-delays. Using the method of semi-discretization, we can analyze the stability of linear neutral systems described by ordinary differential equations (ODEs). Method of semi-discretization provides us with an effective way to obtain an arbitrary linear neutral system's transition matrices, which can be multiplied together to get the mapping matrix. By comparing the maximum eigenvalue of the mapping matrix with 1, we can conclude whether this system is asymptotically stable. Furthermore, this method can also be used to minimize the maximum eigenvalue, and optimal control gains for linear neutral systems are obtained simultaneously. Several numerical examples are given to illustrate the effectiveness of this method.

Original language	English (US)
Title of host publication	2010 Chinese Control and Decision Conference, CCDC 2010
Pages	723-728
Number of pages	6
DOIs	https://doi.org/10.1109/CCDC.2010.5498913
State	Published - Aug 13 2010
Externally published	Yes
Event	2010 Chinese Control and Decision Conference, CCDC 2010 - Xuzhou, China Duration: May 26 2010 → May 28 2010

Publication series

Name	2010 Chinese Control and Decision Conference, CCDC 2010

Other

Other	2010 Chinese Control and Decision Conference, CCDC 2010
Country/Territory	China
City	Xuzhou
Period	5/26/10 → 5/28/10

Keywords

Control
Linear neutral systems
Method of semi-discretization
Stability analysis

ASJC Scopus subject areas

Decision Sciences (miscellaneous)
Control and Systems Engineering
Electrical and Electronic Engineering

Online availability

10.1109/CCDC.2010.5498913

Library availability

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Stability analysis and control of linear neutral systems based on method of semi-discretization. / Sheng, Jie; Shao, Chenhui; Wang, Lei et al.
2010 Chinese Control and Decision Conference, CCDC 2010. 2010. p. 723-728 5498913 (2010 Chinese Control and Decision Conference, CCDC 2010).

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

Sheng, J, Shao, C, Wang, L, Chen, Z & Jiang, C 2010, Stability analysis and control of linear neutral systems based on method of semi-discretization. in 2010 Chinese Control and Decision Conference, CCDC 2010., 5498913, 2010 Chinese Control and Decision Conference, CCDC 2010, pp. 723-728, 2010 Chinese Control and Decision Conference, CCDC 2010, Xuzhou, China, 5/26/10. https://doi.org/10.1109/CCDC.2010.5498913

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abstract = "This paper mainly considers the stability analysis and control of linear neutral systems with multiple time-delays. Using the method of semi-discretization, we can analyze the stability of linear neutral systems described by ordinary differential equations (ODEs). Method of semi-discretization provides us with an effective way to obtain an arbitrary linear neutral system's transition matrices, which can be multiplied together to get the mapping matrix. By comparing the maximum eigenvalue of the mapping matrix with 1, we can conclude whether this system is asymptotically stable. Furthermore, this method can also be used to minimize the maximum eigenvalue, and optimal control gains for linear neutral systems are obtained simultaneously. Several numerical examples are given to illustrate the effectiveness of this method.",

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T1 - Stability analysis and control of linear neutral systems based on method of semi-discretization

AU - Sheng, Jie

AU - Shao, Chenhui

AU - Wang, Lei

AU - Chen, Zonghai

AU - Jiang, Chao

PY - 2010/8/13

Y1 - 2010/8/13

N2 - This paper mainly considers the stability analysis and control of linear neutral systems with multiple time-delays. Using the method of semi-discretization, we can analyze the stability of linear neutral systems described by ordinary differential equations (ODEs). Method of semi-discretization provides us with an effective way to obtain an arbitrary linear neutral system's transition matrices, which can be multiplied together to get the mapping matrix. By comparing the maximum eigenvalue of the mapping matrix with 1, we can conclude whether this system is asymptotically stable. Furthermore, this method can also be used to minimize the maximum eigenvalue, and optimal control gains for linear neutral systems are obtained simultaneously. Several numerical examples are given to illustrate the effectiveness of this method.

AB - This paper mainly considers the stability analysis and control of linear neutral systems with multiple time-delays. Using the method of semi-discretization, we can analyze the stability of linear neutral systems described by ordinary differential equations (ODEs). Method of semi-discretization provides us with an effective way to obtain an arbitrary linear neutral system's transition matrices, which can be multiplied together to get the mapping matrix. By comparing the maximum eigenvalue of the mapping matrix with 1, we can conclude whether this system is asymptotically stable. Furthermore, this method can also be used to minimize the maximum eigenvalue, and optimal control gains for linear neutral systems are obtained simultaneously. Several numerical examples are given to illustrate the effectiveness of this method.

KW - Control

KW - Linear neutral systems

KW - Method of semi-discretization

KW - Stability analysis

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Stability analysis and control of linear neutral systems based on method of semi-discretization

Abstract

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Other

Keywords

ASJC Scopus subject areas

Online availability

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