We introduce flat systems, which are equivalent to linear ones via a special type of feedback
called endogenous. Their physical properties are subsumed by a linearizing output and they …

Field theory is a more or less coherent approach in the social sciences whose essence is
the explanation of regularities in individual action by recourse to position vis-à-vis others …

Illustrating the power, simplicity, and generality of the concept of flatness, this reference
explains how to identify, utilize, and apply flatness in system planning and design. The book …

Page 1 RINGMATHEMATICALENGINEERINGMATHEMAT RINGMATHEMATICAL
ENGINEERINGMATHEMA Jean Lévine Analysis and Control of Nonlinear Systems A …

A new system equivalence relation, using the framework of differential geometry of jets and
prolongations of infinite order, is studied. In this setting, two systems are said to be …

This paper describes the application of di erential atness techniques from nonlinear control
theory to mechanical (Lagrangian) systems. Systems which are di erentially at have several …

Non-linear state estimation and some related topics like parametric estimation, fault
diagnosis and perturbation attenuation are tackled here via a new methodology in numerical …

This paper considers the problem of real‐time trajectory generation and tracking for
nonlinear control systems. We employ a two‐degree‐of‐freedom approach that separates …

A solution of the motion planning without obstacles for the standard a-trailer system is
proposed. This solution relies basically on the fact that the system is flat with the Cartesian …

A general control design approach for the stabilization of controllable driftless nonlinear
systems on finite dimensional Lie groups is presented. The approach is based on the …