DocumentCode
2476245
Title
Simultaneous upper triangularization and the stability of linear discrete multidimensional systems
Author
Zhang, Jiangfeng
Author_Institution
Dept. of Electr., Univ. of Pretoria, Tshwane
fYear
2008
fDate
25-27 June 2008
Firstpage
513
Lastpage
518
Abstract
The problem of determining when m square matrices can be simultaneously triangularized is solved algorithmically in this paper. Then the result is applied to a sufficient condition on the stability of multidimensional linear systems, which is stated by using the elements of the upper triangularized system matrices, and is finer than other existing sufficient conditions based on Lie algebra.
Keywords
Lie algebras; discrete systems; linear systems; multidimensional systems; stability; Lie algebra; linear discrete multidimensional systems stability; simultaneous upper triangularization; triangularized system matrices; Africa; Algebra; Automation; Bismuth; Intelligent control; Linear systems; Multidimensional systems; Stability; Sufficient conditions; Testing; multidimensional system; simultaneous triangularization; stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location
Chongqing
Print_ISBN
978-1-4244-2113-8
Electronic_ISBN
978-1-4244-2114-5
Type
conf
DOI
10.1109/WCICA.2008.4592976
Filename
4592976
Link To Document