Paper Info
Title
Stabilization of Switched Linear Differential Algebraic Equations and Periodic Switching
Abstract
We investigate the stabilizability of switched linear systems of differential-algebraic equations (DAEs). For such systems we introduce a parameterized family of switched ordinary differential equations that approximate the dynamic behavior of the switched DAE. A necessary and sufficient criterion for the stabilizability of a switched DAE system using timedependent switching is obtained in terms of these parameterized approximations. Furthermore, we provide conditions for the stabilizability of switched DAEs via fast switching as well as using solely the consistency projectors of the constituent systems. The stabilization of switched DAEs with commuting vector fields is also analyzed.
Year
DOI
Venue
2015
10.1109/TAC.2015.2406979
Automatic Control, IEEE Transactions  
Keywords
Field
DocType
Switches,Asymptotic stability,Approximation methods,Switched systems,Equations,Stability criteria
Parameterized complexity,Mathematical optimization,Ordinary differential equation,Linear system,Control theory,Vector field,Parametric family,Differential algebraic equation,Exponential stability,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
PP
99
0018-9286
Citations 
PageRank 
References 
4
0.46
9
Authors
3
Name
Order
Citations
PageRank
Andrii Mironchenko113314.18
Fabian Wirth290077.70
Wulff, K.341.48