Finite-Time Stability of Switched Singular Systems Based on Time-Varying Lyapunov Function

This paper deals with the problem of finite-time stability (FTS) of switched singular systems. Firstly, by means of convex combination we construct a class of time-dependent Lyapunov functions. A class of zero terms composed of freely weighted matrices are also adopted to achieve the expected outcomes. Next under the premise of the assumption holding, we obtain novel sufficient conditions for FTS of the system using LMIs. The introduction of zero terms makes the results simpler to verify and less conservative. Finally, to validate the integrity of the derived results, a numerical example is demonstrated.