Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations 2016 |
| Pages | 170-175 |
| Number of pages | 6 |
| Publication status | Published - Jun 2016 |
Fields of science
- 202017 Embedded systems
- 203015 Mechatronics
- 101028 Mathematical modelling
- 202 Electrical Engineering, Electronics, Information Engineering
- 202003 Automation
- 202027 Mechatronics
- 202034 Control engineering
JKU Focus areas
- Mechatronics and Information Processing