In this paper the stability analysis of nonlinear systems is studied through different approaches. The main idea of the paper is to map the original class of nonlinear systems into a smaller subclass of systems described by multivariate polynomial functions, for which the study of stability is available. Thus all these reformulations present a new way to analyze nonlinear systems, through analyzing their polynomial counterparts.
Proceedings of the 2004 American Control Conference
Lyapunov methods, nonlinear control systems, polynomials
Abdallah, Chaouki T.; S. Mastellone; P.F. Hokayem; and Peter Dorato. "Nonlinear stability analysis for non-polynomial systems." Proceedings of the 2004 American Control Conference (2004): 1725-1730. https://digitalrepository.unm.edu/ece_fsp/211