Local Decompositions of Second Order Infinite-Dimensional Systems

This article deals with the local system decomposition of infinite-dimensional systems, which are described by second-order nonlinear partial differential equations. It will be shown that the existence of a certain codistribution allows a local triangular decomposition of the generalized system vector field and the boundary conditions. Based on this triangular decomposition, non-accessibility follows by a simple structural analysis. Throughout the article differential geometric methods are applied, highlighting the geometric picture behind the system description. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)