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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.852561
