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 proceedingConference 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 languageEnglish (US)
Title of host publication2010 Chinese Control and Decision Conference, CCDC 2010
Pages723-728
Number of pages6
DOIs
StatePublished - Aug 13 2010
Externally publishedYes
Event2010 Chinese Control and Decision Conference, CCDC 2010 - Xuzhou, China
Duration: May 26 2010May 28 2010

Publication series

Name2010 Chinese Control and Decision Conference, CCDC 2010

Other

Other2010 Chinese Control and Decision Conference, CCDC 2010
CountryChina
CityXuzhou
Period5/26/105/28/10

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

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  • Cite this

    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 (pp. 723-728). [5498913] (2010 Chinese Control and Decision Conference, CCDC 2010). https://doi.org/10.1109/CCDC.2010.5498913