AN ALGORITHM TO ESTIMATE THE REGION OF ATTRACTION FOR NONAUTONOMOUS DYNAMICAL SYSTEMS

Abstract

This paper aims to present an algorithm to find a lower estimate for the region of attraction of a nonautonomous system. This work is an extension for the result presented by Tiep D.V and Hue T.T (2018), in which we mention to the problem for only the case of an autonomous system with an exponentially stable equilibrium point. The approach implemented here is to use a linear programming to construct a continuous, piecewise affine (or CPA for brevity) Lyapunov-like function. From this, the estimate is going to be executed effectively.