Abstract:The study of the stability
analysis and the switching stabilization for switched linear systems
is a hot topic in recent years. The lately main
results about this problem are reviewed in this paper. Firstly, the primary conclusions
of the stability analysis are given for switched linear systems
under two cases such that the arbitrary switching and the restricted
switching. Then the main mathods for switching stabilization are
presented. Finally, the current results of the practical stability
and the finite-time stability problems for switched systems are
outlined, and the development of this research field is forecasted.