A Computer Algorithm to Estimate Stability Regions Iind to Place Bounds on Settling Times for Nonlinear Systems

Abstract

This paper describes a computer algorithm which accepts nonlinear system differential equations and from them estimates the region of aymptotic stability as well as a set of upper and lower bounds for the amount of time a state may exist in each of a set of subregions. These results are produced by way of a Lyapunov function approximated as a numerical solution of Zubov's equation for the given system.