Title :
Comments on periodic and absolute stability for switched linear systems
Author :
Wulff, Kai ; Foy, John ; Shorten, Robert
Author_Institution :
Hamilton Inst., Nat. Univ. of Ireland, Maynooth, Ireland
Abstract :
In this contribution we discuss the connection between periodic stability and absolute stability of switched linear systems. We consider the conjecture that periodic stability implies absolute stability (PSAS) and discuss it from a practical perspective. We present detailed observations about a class of systems that provide a counter example for PSAS and make suggestions for exploring the nature of these counter examples.
Keywords :
absolute stability; asymptotic stability; linear systems; time-varying systems; absolute stability; asymptotic stability; counter example; periodic stability; switched linear system; Artificial intelligence; Asymptotic stability; Control systems; Counting circuits; Ear; Eigenvalues and eigenfunctions; Linear systems; Sufficient conditions; Upper bound;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1244026
