New results on exponential stability of time-varying systems using logarithmic norm

Abstract This work is concerned with the stability analysis of nonlinear time-varying systems by using a generalized integral inequality of Gamidov type. The approach is based on the use of the notion of logarithmic norm. We give sufficient conditions for exponential stability of the perturbed system, including Lyapunov-type stability criteria and eigenvalue conditions on “slowly varying systems”. The effectiveness of the proposed approach is illustrated by numerical examples.