Analysis of observability of polynomial and analytical systems and its applications

The paper concerns the analysis of autonomous nonlinear dynamical systems for the cases when the right hang-side of differential equation in described by the polynomials as well as homogeneous polynomial forms. New conditions of global observability are proposed. Several generalizations for analytical case are given. The observability of homogeneous polynomial vector field is investigated. The applications of observability conditions are discussed for the system with feedback and Euler equations for solid dynamics.