Finite time stability of switched nonlinear singular systems with stable and unstable subsystems

This note considers the problem of finite time stability of switched nonlinear singular systems consisting of both stable and unstable subsystems. First, based on the equivalent dynamics decomposition form of systems, a description for state jumps of the switched nonlinear singular system is presented. Then a switching law for finite time stability of systems is designed by using the equivalent dynamics decomposition form of systems and average dwell time approach. Furthermore, another switching law for finite time stability of systems is designed based on the comparison principle. These results obtained in this note are the extensions of the existing works. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.