Motion planning, equivalence, infinite dimensional systems (Q2716506)

This paper is concerned with the motion planning problem for infinite dimensional systems based on the flatness approach, see [\textit{M. Fliess, J. Levine, P. Martin} and \textit{P. Rouchon}, Int. J. Control 61, No. 6, 1327--1361 (1995; Zbl 0838.93022)]. NEWLINENEWLINENEWLINEStudying several high but finite dimensional examples (e.g., a series of pendulums, a car with \(n\) trailers) the author shows how to extend the flatness approach to infinite dimensional systems for a couple of applications, like the nonholonomic snake (interpreted as a car with infinitely many trailers), the motion of a heavy chain and the control of a flexible Euler--Bernoulli beam. All examples are presented in a rather informal manner, referring to other papers for details.