Observability Conditions by Polynomial Ideals
Yu Kawano, Toshiyuki Ohtsuka · Asian Journal of Control · 2016
Abstract In this paper, we give global and local observability conditions of polynomial systems. Each observability is defined in terms of distinguishability of a pair of initial states. The set of pairs of initial states are represented as an affine variety. By using this affine variety, a global observability condition is derived. Then, a local observability condition is presented based on the minimal decomposition of the affine variety and dimension theory.