Title :
Stabilization of switched linear differential-algebraic equations via time-dependent switching signals
Author :
Mironchenko, Andrii ; Wirth, Fabian ; Wulff, Kai
Author_Institution :
Inst. of Math., Univ. of Wurzburg, Wurzburg, Germany
Abstract :
We investigate stabilizability of switched 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 criterion for stabilizability of a switched DAE system using time-dependent switching is obtained in terms of these parameterized approximations. The tightness of the proposed criterion is analyzed.
Keywords :
approximation theory; differential algebraic equations; differential-algebraic equation; dynamic behavior; parameterized approximation; switched DAE system stabilization; switched linear equation; switched ordinary differential equation; time-dependent switching signal; Approximation methods; Differential equations; Equations; Linear systems; Stability analysis; Switched systems; Switches; differential-algebraic systems; stabilization; switched systems;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760832
