SEBezDANS - Stability Estimation via Bezoutians of the Domain of Attraction for Nonlinear Systems

Abstract

Investigating the stability of arbitrary given systems is one of the key tasks in modern control engineering and systems theory. To evaluate the stability of systems, there were published innumerable approaches and methods to solve this crucial task. In this paper the new tool SEBezDANS is introduced to estimate the domain of attraction and therefore give a statement about the stability of the surveyed system. The underlying method is based on Bézout matrices and the theorem of Ehlich and Zeller. The functionality of the complete framework is presented with its opportunities as well as its limitations. Some illustrating examples to show the effectivity of the method conclude this paper.