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A new bounded real lemma for discrete-time linear descriptor systems.
- Source :
- Asian Journal of Control; Mar2024, Vol. 26 Issue 2, p1068-1076, 9p
- Publication Year :
- 2024
-
Abstract
- This paper presents a new bounded real lemma for discrete-time linear descriptor systems. We first present a necessary and sufficient condition for the admissibility of discrete-time descriptor systems expressed in terms of strict linear matrix inequalities (LMIs). We then prove that a discrete-time descriptor system is l2-stable if and only if a symmetric matrix satisfying two strict LMIs can be found. Two illustrative examples are provided for verification. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR systems
LINEAR matrix inequalities
DISCRETE-time systems
SYMMETRIC matrices
Subjects
Details
- Language :
- English
- ISSN :
- 15618625
- Volume :
- 26
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Asian Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 176961187
- Full Text :
- https://doi.org/10.1002/asjc.3235