DocumentCode
1131366
Title
On Convergence Rates of Simultaneously Triangularizable Switched Linear Systems
Author
Sun, Zhendong ; Shorten, Robert
Author_Institution
Hamilton Inst., Nat. Univ. of Ireland, County Kildare, Ireland
Volume
50
Issue
8
fYear
2005
Firstpage
1224
Lastpage
1228
Abstract
In this note, we introduce the concepts of best case and worst-case convergence rates for switched linear systems. Their connections to the problems of stability and stabilization are briefly discussed. For simultaneously triangularizable switched systems, explicit formulas are presented for the convergence rates in terms of the system eigenvalues.
Keywords
convergence; eigenvalues and eigenfunctions; linear systems; stability; time-varying systems; convergence rates; simultaneous triangularizable switched linear system; stability; system eigenvalues; Chaos; Convergence; Eigenvalues and eigenfunctions; Limit-cycles; Linear systems; Polynomials; Stability; Sun; Switched systems; Vectors; Convergence rate; simultaneous triangularization; stability; stabilization; switched linear systems; switching path;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2005.852561
Filename
1492570
Link To Document