Logarithmic norm-based analysis of robust asymptotic stability of nonlinear dynamical systems

摘要

In this paper, we address the issue of robust asymptotic stability of zero solution for the nonlinear dynamical systems (x) over dot = A(t)x + g( x, t). Using the approach based on the logarithmic norm and combining with the variation constant formula we show the persistence of local or global "attractiveness" of the origin for a wide class of perturbations. (c) 2019 Elsevier B.V. All rights reserved.