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Data Data-Driven Identification of Stable Non-Linear Systems Using Long Short-Term Memory

This work was a research seminar I completed during my degree program Computer & Systems Engineering (M.Sc.). It was supervised by Irene Schimperna. Responsible Professors were Prof. Dr.-Ing. Patrick Mäder (Data-intensive Systems and Visualization Group) and Prof. Dr.-Ing. Karl Worthmann (Optimization-based Control Group).

Details can be read in the seminar report or the presentation slides.

In the seminar, I investigated how to formally check an LSTM network for stability (more precisely: input-to-state stability) and how to enforce this property during the training process.

Schematic of an LSTM network. Adapted with changes from https://colah.github.io/.
Figure 1: Schematic of an LSTM network. Adapted with changes from https://colah.github.io/.

The results enable for guarantees regarding stability and boundedness and can be applied to e.g. controller design.