Abstract
Differential geometry and the application of its methods have a long tradition in nature and technical sciences. They became popular in automatic control, when one succeeded to give precise answers to problems like reachability, observability, input to state linearization for nonlinear systems. The main tool was the construction of adapted coordinate systems, such that one could easily read off the desired properties. This contribution embraces the required basic principles like abstract manifolds, bundles, Lie-derivatives, exterior derivative and some first approaches for the analysis of structures of dynamic systems in form of a short overview.
| Translated title of the contribution | Geometric Representation of Nonlinear Systems |
|---|---|
| Original language | German (Austria) |
| Pages (from-to) | 452-462 |
| Number of pages | 11 |
| Journal | at - Automatisierungstechnik |
| Volume | 62 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul 2014 |
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
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