Publication

Abstract : In this paper, we prove a Lie algebraic criterion for stability of switched differential algebraic equations (DAEs) with stable and impulse free DAE subsystems. We show that if the Lie algebra generated by the differential flows associated with the DAE subsystems, where the descriptor matrices share a common kernel, can be decomposed into the solvable ideal (radical) and a compact Lie algebra then the switched DAE is globally uniformly exponentially stable. Furthermore, we show that the proposed Lie algebraic result completely generalizes an existing result in the literature. We also present a conjecture regarding the stability of switched DAEs.