摘要：AbstractIn this paper, we prove a Lie algebraic result for stability of switched DAEs with a common descriptor matrix (commonEmatrix). We first show that if a switched DAE with a common descriptor matrix isasymptotically stable,then it is alsoglobally uniformly exponentially stable.We then show that switched DAEs with common descriptor matrix and consistent block upper triangular structure isglobally uniformly exponentially stableif and only if the switched DAEs corresponding to the diagonal blocks areglobally uniformly exponentially stable.Finally, we show that a switched DAE with common descriptor matrix, stable and impulse free DAE subsystems, isglobally uniformly exponentially stable (GUES)if there exists an invertible matrixNsuch that the Lie algebra{N E, N Ai: iϵP}LAis solvable.
