Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances

Chengdan Wang, Hongli Yang () and Ivan Ganchev Ivanov ()
Additional contact information
Chengdan Wang: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Hongli Yang: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Ivan Ganchev Ivanov: Faculty of Economics and Business Administration, Sofia University “St. Kl. Ohridski”, 125 Tzarigradsko Chaussee Blvd., Bl. 3, 1113 Sofia, Bulgaria

Mathematics, 2023, vol. 11, issue 15, 1-16

Abstract: This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances. In the proposed methods, the robustly controlled invariant set of discrete-time systems is obtained by solving the linear matrix inequality given by logarithmic norm and difference inequality. Illustrative examples are presented to demonstrate the obtained methods.

Keywords: robustly controlled invariant set; linear discrete-time systems; logarithmic norm; difference inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/15/3421/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/15/3421/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:15:p:3421-:d:1211555

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().