Practical finite-time stability of homogeneous positive nonlinear systems

Abstract

The issue of practical finite-time stability (PFTS) for homogeneous positive systems (HPSs) with exogenous disturbance is investigated in this article. Based on max-separable Lyapunov function (MSLF) method, we get a sufficient condition for PFTS for the considered system. What’s more, we obtain a finite settling-time depending on the proof by contradiction. Our results are more specific and easily obtained in comparison to the existing results, and we generalize the results of HPSs to the time-varying nonlinear systems via a technique of comparison. Finally, the feasibility of the adopted technique is specified by a suitable example.