Finite-time stability analysis for switched linear singular systems

Finite-time stability (FTS) of switched linear singular systems (SLS) is studied in this article. First of all, the definition of finite-time stability for switched linear singular systems is given. Then, based on the description of the state jump by a consistency projector when the subsystem is switching from one to another, we acquire a sufficient condition for FTS of switched linear singular systems utilizing a piecewise Lyapunov function and state dependent switching law which selects the activated mode with the minimum Lyapunov function along the states trajectories. Compared with the time dependent switching law, the result is less conservation. Moreover, FTS for systems with both stable subsystems and unstable systems is investigated. Finally, two numerical examples are given to verify the effectiveness of the presented methods.