DocumentCode :
2849214
Title :
Stability analysis and control of linear neutral systems based on method of semi-discretization
Author :
Sheng, Jie ; Shao, Chenhui ; Wang, Lei ; Chen, Zonghai ; Jiang, Chao
Author_Institution :
Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China
fYear :
2010
fDate :
26-28 May 2010
Firstpage :
723
Lastpage :
728
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.
Keywords :
asymptotic stability; delays; differential equations; eigenvalues and eigenfunctions; linear systems; matrix algebra; arbitrary linear neutral system transition matrices; asymptotic stability; mapping matrix; maximum eigenvalue; ordinary differential equations; semidiscretization method; stability analysis; time delays; Automatic control; Automation; Chaos; Control systems; Delay; Differential equations; Eigenvalues and eigenfunctions; Optimal control; Sliding mode control; Stability analysis; Control; Linear Neutral Systems; Method of Semi-discretization; Stability Analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
Type :
conf
DOI :
10.1109/CCDC.2010.5498913
Filename :
5498913
Link To Document :
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