A method to determine a flat output and the parametrization of the solution of some systems described by partial differential equations

This paper presents a method to determine the flat output of some one dimensional boundary controlled distributed systems. Once the flat output determined, the parametrization of the solution is achieved using a Taylor-expansion in the space coordinate variable of the flat output. The procedure is illustrated by two problems related to heat transfer, described respectively by a parabolic and a hyperbolic partial differential equation.