Title
Stability of switched systems on non-uniform time domains with non commuting matrices.
Abstract
The time scale theory is introduced to study the stability of a class of switched linear systems on non-uniform time domains, where the dynamical system commutes between a continuous-time linear subsystem and a discrete-time linear subsystem during a certain period of time. Without assuming that matrices are pairwise commuting, some conditions are derived to guarantee the exponential stability of the switched system by considering that the continuous-time subsystem is stable and the discrete-time subsystem can be stable or unstable. Some examples show the effectiveness of the proposed scheme.
Year
DOI
Venue
2018
10.1016/j.ifacol.2018.08.007
IFAC-PapersOnLine
Keywords
Field
DocType
Time scales,Stability analysis,Switched systems,Exponential stability,Non-uniform time domain
Applied mathematics,Pairwise comparison,Commuting matrices,Linear system,Matrix (mathematics),Exponential stability,Dynamical system,Mathematics
Conference
Volume
Issue
ISSN
51
16
2405-8963
Citations 
PageRank 
References 
0
0.34
8
Authors
5
Name
Order
Citations
PageRank
Fatima Zohra Taousser1113.32
Michael Defoort243333.97
M. Djemaϊ36916.61
Seddik M. Djouadi421642.08
Kevin Tomsovic5185.10