Stabilization of linear time-varying descriptor systems: A linear matrix differential inequality approach

Masaki Inoue, Terayo Wada, Masao Ikeda, Eiho Uezato

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

This paper considers stabilization of linear time-varying descriptor systems with continuous and bounded coefficient matrices. First, a necessary and sufficient condition for exponential stability is presented as solvability of a linear matrix differential inequality. Then, the stability condition is utilized to derive a feedback control law for stabilization of the descriptor system. The proposed feedback gain extracts the dynamic component of the descriptor variable. A numerical example is presented.

Original languageEnglish
Title of host publication2008 International Conference on Control, Automation and Systems, ICCAS 2008
Pages1855-1860
Number of pages6
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event2008 International Conference on Control, Automation and Systems, ICCAS 2008 - Seoul, Korea, Republic of
Duration: 2008 Oct 142008 Oct 17

Publication series

Name2008 International Conference on Control, Automation and Systems, ICCAS 2008

Other

Other2008 International Conference on Control, Automation and Systems, ICCAS 2008
Country/TerritoryKorea, Republic of
CitySeoul
Period08/10/1408/10/17

Keywords

  • Linear matrix differential inequalities
  • Linear time-varying descriptor systems
  • Stability
  • Stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering

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