Nick Baberuxki (Masterkolloquium): Deciding Local Observability with Lie Symmetries

Abstract:

Local observability and structural local identifiability are fundamental properties in control theory. These properties fail when a system admits Lie symmetries that preserve the input-output behavior while transforming states and parameters. In this talk, I will present an algorithmic method to determine these properties for nonlinear control systems. By constructing an infinitesimal determining system for the symmetries obstructing local observability and identifiability, and analyzing it using the theory of involutive bases, specifically Janet bases, we derive the local observability and identifiability properties of the control system. The approach involves analyzing the solution space of this system to determine the size and structure relevant to the system's observability and identifiability.

Zoom-Link for online participation:
https://uni-kassel.zoom-x.de/j/62202241000?pwd=JRmQYtmTfbXQat38ZKv7ycVbROMMuB.1

Meeting-ID: 622 0224 1000

Kenncode: 947084

Sincerely,

W. Seiler