Hubert Rams, Markus Schöberl, Kurt Schlacher,
"Local Decomposition and Accessibility of Nonlinear Infinite-Dimensional Systems"
: 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations 2016, Seite(n) 170-175, 6-2016
Local Decomposition and Accessibility of Nonlinear Infinite-Dimensional Systems
Sprache des Titels:
2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations 2016
This article deals with the local system decomposition of infinite-dimensional systems, which are described by second-order nonlinear partial differential equations.
We show that if there exists a certain codistribution which is invariant under the generalized system vector field, a local triangular decomposition can be obtained.
Furthermore, we draw connections to a different approach which is based on transformation groups.
Throughout the article we apply differential geometric methods, highlighting the geometric picture behind the system description.
The article is closed with a nonlinear example.