W imieniu Komisji Matematyki powołanej przy OŁ PAN serdecznie zapraszam na wykład prof. Respondka, który odbędzie się 31 marca (piątek) o godzinie 12:00 w Oddziale PAN w Łodzi (w budynku przy ulicy Piotrkowskiej 137/139).
Title:
Geometric methods in linearization of nonlinear control systems: tools, results, examples.
Author:
Prof. Witold Respondek
Institute of Automatic Control
Lodz University of Technology, Poland
emeritus professor at
Normandie Université, INSA de Rouen, France
Abstract.
We will discuss various notions of linearization of nonlinear control systems: via change of coordinates in the state-space, via static feedback, via orbital feedback, and via dynamic precompensation (flatness), as well as involved concepts, methods, and examples of linearizable physical systems. We will show that geometric notions like Lie brackets, distributions, involutivity play a natural role in various linearization problems. For each notion of linearization, we will give necessary and sufficient conditions for linearizability (if they exist) and provide methods to find linearizing transformations. Finally, we will discuss some open problems and natural directions for future research around the linearization problem.