This article studies linear switched differential algebraic equations DAEs, which contains stable and unstable subsystems. We prove sufficient conditions for stability of switched DAEs based on the existence of suitable Lyapunov functions. The result shows that stability is preserved under switching with an average dwell time and an additional condition involving consistency projectors holds. Furthermore, we also give an example to illustrate the result.
['Xiaowu Mu', 'Jumei Wei', 'Rui Ma']
Stability of linear switched differential algebraic equations with stable and unstable subsystems