Title :
A solvable Lie algebra condition for stability of linear multidimensional systems
Author :
Chu, Tianguang ; Zhang, Cishen ; Wang, Long
Author_Institution :
Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China
Abstract :
This 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.
Keywords :
Lie algebras; asymptotic stability; linear systems; multidimensional systems; Lie algebra condition; exponential stability; linear multidimensional systems stability; system component-wise exponential convergence; system matrices; Algebra; Biomedical engineering; Chemical technology; Control systems; Convergence; H infinity control; Multidimensional signal processing; Multidimensional systems; Stability analysis; Sufficient conditions; Comparison method; exponential stability; multidimensional systems; solvable Lie algebra;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.863516
