Title :
On convergence rates of switched linear systems
Author :
Sun, Zhendong ; Shorten, Robert
Author_Institution :
Hamilton Inst., Nat. Univ. of Ireland, Maynooth, Ireland
Abstract :
In this paper, 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 triangularisable 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; eigenvalues; stabilization; switched linear systems; triangularisable switched systems; Chaos; Convergence; Eigenvalues and eigenfunctions; Limit-cycles; Linear systems; Polynomials; Rats; Stability; Sun; Switched systems;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272346
