Publication

Abstract : In this paper, we prove a Lie algebraic result for stability of switched DAEs with a common descriptor matrix (common E matrix). We first show that if a switched DAE with a common descriptor matrix is asymptotically stable, then it is also globally uniformly exponentially stable. We then show that switched DAEs with common descriptor matrix and consistent block upper triangular structure is globally uniformly exponentially stable if and only if the switched DAEs corresponding to the diagonal blocks are globally uniformly exponentially stable. Finally, we show that a switched DAE with common descriptor matrix, stable and impulse free DAE subsystems, is globally uniformly exponentially stable (GUES) if there exists an invertible matrix N such that the Lie algebra {N E, N Ai: i ϵ P}LA is solvable.