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 Dec 1
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
CountryKorea, Republic of
CitySeoul
Period08/10/1408/10/17

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Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Inoue, M., Wada, T., Ikeda, M., & Uezato, E. (2008). Stabilization of linear time-varying descriptor systems: A linear matrix differential inequality approach. In 2008 International Conference on Control, Automation and Systems, ICCAS 2008 (pp. 1855-1860). [4694401] (2008 International Conference on Control, Automation and Systems, ICCAS 2008). https://doi.org/10.1109/ICCAS.2008.4694401