Deep Long-Short Term Memory networks: Stability properties and Experimental validation

Fabio Bonassi, Alessio La Bella, Giulio Panzani, Marcello Farina, Riccardo Scattolini
4/6/2023
eess.SYcs.LGmath.OC

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Abstract

The aim of this work is to investigate the use of Incrementally Input-to-State Stable ($δ$ISS) deep Long Short Term Memory networks (LSTMs) for the identification of nonlinear dynamical systems. We show that suitable sufficient conditions on the weights of the network can be leveraged to setup a training procedure able to learn provenly-$δ$ISS LSTM models from data. The proposed approach is tested on a real brake-by-wire apparatus to identify a model of the system from input-output experimentally collected data. Results show satisfactory modeling performances.

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Cite this paper

@article{bonassi2023deep,
  title  = {Deep Long-Short Term Memory networks: Stability properties and Experimental validation},
  author = {Fabio Bonassi and Alessio La Bella and Giulio Panzani and Marcello Farina and Riccardo Scattolini},
  year   = {2023},
  eprint = {2304.02975},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2304.02975v1}
}

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