Impulse-free interval-stabilization of switched differential algebraic equations

In this paper stabilization of switched differential algebraic equations is considered, where Dirac impulses in both the input and state trajectory are to be avoided during process. First it shown that stabilizability a DAE existence impulse-free solutions merely necessary conditions for stabilizability. Then sufficient given, which motivate definition (impulse-free) interval-stabilization on finite interval. Under uniformity assumption, can verified broad class systems, an infinite interval concluded based interval-stabilizability. As result characterization given as corollary we provide novel null-controllability characterization. Finally, results compared interval-stabilizability allowed trajectory.