Title :
Simultaneous upper triangularization and the stability of linear discrete multidimensional systems
Author :
Zhang, Jiangfeng
Author_Institution :
Dept. of Electr., Univ. of Pretoria, Tshwane
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;
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
DOI :
10.1109/WCICA.2008.4592976
