Deep Long-Short Term Memory networks: Stability properties and Experimental validation
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916452370481152 |
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| author | Bonassi, Fabio La Bella, Alessio Panzani, Giulio Farina, Marcello Scattolini, Riccardo |
| author_facet | Bonassi, Fabio La Bella, Alessio Panzani, Giulio Farina, Marcello Scattolini, Riccardo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02975 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deep Long-Short Term Memory networks: Stability properties and Experimental validation Bonassi, Fabio La Bella, Alessio Panzani, Giulio Farina, Marcello Scattolini, Riccardo Systems and Control Machine Learning Optimization and Control 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. |
| title | Deep Long-Short Term Memory networks: Stability properties and Experimental validation |
| topic | Systems and Control Machine Learning Optimization and Control |
| url | https://arxiv.org/abs/2304.02975 |