Karl Rieger, Markus Schöberl, Kurt Schlacher,
"Local Decomposition and Accessibility of PDE Systems"
: Proceedings 49th IEEE Conference on Decision and Control (CDC) 2010, Seite(n) 6271-6276, 12-2010
Original Titel:
Local Decomposition and Accessibility of PDE Systems
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings 49th IEEE Conference on Decision and Control (CDC) 2010
Original Kurzfassung:
The local decomposition of (nonlinear) ODE systems, which is
obtained in the presence of a codistribution invariant under the
system vector field and an associated local partition of the
underlying manifold, is well-studied in the literature, and its
relevance w.r.t. the local accessibility problem is indisputable. In
this contribution we focus on the local decomposition of (nonlinear)
PDE systems. In particular, it is shown that in the presence of a
codistribution invariant under the so-called generalized system
vector field a triangular decomposition, including the decomposition
of the boundary conditions under certain conditions, can be
obtained. In addition, we highlight the geometric picture behind our
approach and that these results can be applied to the accessibility
problem, where conditions for the local decomposition of a
(non-accessible) system into subsystems are provided. A nonlinear
example illustrates the results.