Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

In this paper, the finite-time stability for a class of switched homogeneous positive systems (SHPSs) is discussed. First, each subsystem is assumed to be finite-time stable and the degree of homogeneity satisfies 0 < a < 1 . A new variable cyclic dwell-time approach is proposed, which allows for greater flexibility in switching signal design than the existing cyclic dwell-time approach. By virtue of the variable cyclic dwell-time and switched max-type separated Lyapunov function methods, the finite-time stability criterion for SHPSs is established and the settling time is obtained. Moreover, the stability result is extended to SHPSs containing unstable subsystems. Finally, two simulation examples are provided to demonstrate the effectiveness of the theoretical analysis.