Abstract
The author assumes that the nonlinear system with scalar output is described by ordinary differential equation in which the right part is represented in the form of converged power series. The method for state estimation with the help of approximating observer concept is proposed. The author substitutes the exact solution of differential equation for approximate one which is constructed by means of Taylor approximations and linearization in Carleman's sense. The local conditions for observability of the systems with polynomial right part are obtained. Carleman's linearization enables to determine the functions which define the observability by the way of solution of linear equations.
| Original language | English |
|---|---|
| Pages (from-to) | 80-86 |
| Number of pages | 7 |
| Journal | Avtomatika i Telemekhanika |
| Issue number | 11 |
| State | Published - Nov 1991 |
| Externally published | Yes |