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

Masaki Inoue; Terayo Wada; Masao Ikeda; Eiho Uezato

doi:10.1109/ICCAS.2008.4694401

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 proceeding › Conference 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 language	English
Title of host publication	2008 International Conference on Control, Automation and Systems, ICCAS 2008
Pages	1855-1860
Number of pages	6
DOIs	https://doi.org/10.1109/ICCAS.2008.4694401
Publication status	Published - 2008 Dec 1
Externally published	Yes
Event	2008 International Conference on Control, Automation and Systems, ICCAS 2008 - Seoul, Korea, Republic of Duration: 2008 Oct 14 → 2008 Oct 17

Publication series

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

Other

Other	2008 International Conference on Control, Automation and Systems, ICCAS 2008
Country	Korea, Republic of
City	Seoul
Period	08/10/14 → 08/10/17

Fingerprint

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

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 (2008 International Conference on Control, Automation and Systems, ICCAS 2008).

Research output: Chapter in Book/Report/Conference proceeding › Conference 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, 2008 International Conference on Control, Automation and Systems, ICCAS 2008, 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. (2008 International Conference on Control, Automation and Systems, ICCAS 2008). https://doi.org/10.1109/ICCAS.2008.4694401

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Access to Document

10.1109/ICCAS.2008.4694401