A solvable Lie algebra condition for stability of linear multidimensional systems
journal contribution
posted on 2024-07-11, 13:24 authored by Tianguang Chu, Cishen Zhang, Long WangThis note analyzes exponential stability of a class of linear discrete multidimensional systems. Using a multidimensional comparison principle for estimating the system componentwise exponential convergence and a solvable Lie algebra condition, a sufficient condition for exponential stability of linear multidimensional systems is presented. The stability condition can be easily examined by computing the system matrices in finite steps. This is demonstrated by an example.
History
Available versions
PDF (Published version)Publisher DOI
ISSN
0018-9286Journal title
IEEE Transactions on Automatic ControlVolume
51Issue
2Pagination
4 ppPublisher
IEEECopyright statement
Copyright © 2006 IEEE. The published version is reproduced in accordance with the copyright policy of the publisher. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in oTher works must be obtained from The IEEE.Language
engUsage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC