Domain-of-Attraction Estimation for Uncertain Non-polynomial Systems

TL;DR

This paper introduces a polynomial approximation method to estimate the domain of attraction for uncertain non-polynomial systems, improving accuracy over existing techniques.

Contribution

It presents a novel polynomial approximation approach with error analysis to better estimate the domain-of-attraction for non-polynomial systems.

Findings

The method provides tighter domain-of-attraction estimates.

Experiments demonstrate improved accuracy on benchmark systems.

The approach effectively handles uncertainties in non-polynomial dynamics.

Abstract

In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. Experiments on the benchmark non-polynomial systems show that our approach gives better estimates of the domain-of-attraction.