@inproceedings{ae22de0a4db642bb8eac1015ac0f8f08,
title = "New Study on a Necessary and Sufficient State-Feedback Stabilization Condition for Singular Discrete-Time System",
abstract = "This paper proposes a new necessary and sufficient condition for the state-feedback stabilization of discrete-time singular systems via a linear matrix inequality (LMI) approach. This paper derives an alternative form of admissibility criterion of the discrete-time singular systems as a necessary and sufficient condition. Then, for the closed-loop system obtained by using the state-feedback controller, the derived admissibility criterion is applied, which leads to the non-convex matrix inequalities. This paper specially chooses the block entries of the congruent transformation matrix so that the non-convex matrix inequalities are successfully converted into the convex one. Consequently, the state-feedback stabilization control for discrete-time singular systems is obtained as a necessary and sufficient condition in terms of LMIs. The feasibility of the proposed control is further described via a numerical example.",
keywords = "Linear matrix inequality, Singular system, state-feedback stabilization",
author = "Park, {In Seok} and Park, {Chan Eun} and Park, {Poo Gyeon}",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2020 ; Conference date: 24-06-2020 Through 27-06-2020",
year = "2020",
month = jun,
doi = "10.1109/ECTI-CON49241.2020.9158287",
language = "English",
series = "17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "804--807",
booktitle = "17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2020",
address = "United States",
}