Observers for nonlinear systems

Abstract

The authors prove that generically a nonlinear autonomous system on a compact d-dimensional manifold has an observer of dimension 2d+1. This is a consequence of the result that, for a generic d-dimensional nonlinear system, the state can be reconstructed on the basis of the 2d first derivatives of the output.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>