Paper Info
Title
Asymptotic Stability Analysis of a Kind of Switched Positive Linear Discrete Systems
Abstract
This note studies the asymptotic stability of switched positive linear discrete systems whose subsystems are ( sp ) matrices. Such a matrix is the character of a kind of asymptotically stable linear systems and it is very easy to test. A new definition of ( sp ) matrix is given by means of graph theory. Based on an approaching using partially ordered semigroups and Lie algebras, we present several new criteria for asymptotic stability. We also derive an algebraic condition and discuss a kind of higher order difference equation. Our results have a robustness property to some extent.
Year
DOI
Venue
2010
10.1109/TAC.2010.2052144
IEEE Transactions on Automatic Control
Keywords
Field
DocType
partially ordered semigroup,saturated vertex,asymptotic stability,Lie algebra,matrix algebra,asymptotic stability analysis,Asymptotic stability,directed graph,lie algebra,switched systems,switched positive linear discrete systems,substochastic matrix,linear systems,graph theory,(sp) matrix,$(sp)$ matrix,discrete systems
Graph theory,Stability criterion,Linear system,Control theory,Matrix (mathematics),Directed graph,Exponential stability,Semigroup,Mathematics,Stability theory
Journal
Volume
Issue
ISSN
55
9
0018-9286
Citations 
PageRank 
References 
7
0.59
9
Authors
2
Name
Order
Citations
PageRank
Xiaoping Xue129517.54
Zhuchun Li2165.00