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

Other

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

Fingerprint

Stabilization
Asymptotic stability
Feedback control
Feedback

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] https://doi.org/10.1109/ICCAS.2008.4694401

Stabilization of linear time-varying descriptor systems : A linear matrix differential inequality approach. / Inoue, Masaki; Wada, Terayo; Ikeda, Masao; Uezato, Eiho.

2008 International Conference on Control, Automation and Systems, ICCAS 2008. 2008. p. 1855-1860 4694401.

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

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., 4694401, pp. 1855-1860, 2008 International Conference on Control, Automation and Systems, ICCAS 2008, Seoul, Korea, Republic of, 08/10/14. https://doi.org/10.1109/ICCAS.2008.4694401
Inoue M, Wada T, Ikeda M, Uezato E. Stabilization of linear time-varying descriptor systems: A linear matrix differential inequality approach. In 2008 International Conference on Control, Automation and Systems, ICCAS 2008. 2008. p. 1855-1860. 4694401 https://doi.org/10.1109/ICCAS.2008.4694401
Inoue, Masaki ; Wada, Terayo ; Ikeda, Masao ; Uezato, Eiho. / Stabilization of linear time-varying descriptor systems : A linear matrix differential inequality approach. 2008 International Conference on Control, Automation and Systems, ICCAS 2008. 2008. pp. 1855-1860
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