A numerical tool for stability analysis of linear time-varying systems

Abstract

This paper proposes detailed stability analysis of linear time-varying (LTV) systems. In this sense, a survey of published approaches is presented and a numerical tool that allows the LTV systems stability analysis is developed. The analytic methods that are based on different concept as state matrix, state transition matrix or eigenvalues gives a sufficient conditions for LTV systems stability study. The developed numerical tool is then based on the presentation of different sufficiency criteria for the asymptotic stability of linear time-varying systems.