Nonlinear Systems Identification Using Deep Dynamic Neural Networks
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Abstract (arXiv)
Neural networks are known to be effective function approximators. Recently, deep neural networks have proven to be very effective in pattern recognition, classification tasks and human-level control to model highly nonlinear realworld systems. This paper investigates the effectiveness of deep neural networks in the modeling of dynamical systems with complex behavior. Three deep neural network structures are trained on sequential data, and we investigate the effectiveness of these networks in modeling associated characteristics of the underlying dynamical systems. We carry out similar evaluations on select publicly available system identification datasets. We demonstrate that deep neural networks are effective model estimators from input-output data
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). First posted on arXiv 5 Oct 2016.
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Citing papers per year: 2021: 5; 2022: 3; 2023: 2; 2024: 0; 2025: 2; 2026: 2.
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- 2021Constructing Neural Network-Based Models for Simulating Dynamical Systemscited by 29
- 2023Physics-Informed Machine Learning for Modeling and Control of Dynamical Systemscited by 28
- 2022Neural Ordinary Differential Equations for Nonlinear System Identificationcited by 14
- 2022Gradient-Based Trajectory Optimization With Learned Dynamicscited by 7
- 2021Recurrent Neural Network-based Internal Model Control design for stable nonlinear systemscited by 5
- 2022Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learningcited by 5
- 2021A Neural Network Ensemble Approach to System Identificationcited by 1
- 2025Data-driven identification of nonlinear dynamical systems with LSTM autoencoders and Normalizing Flowscited by 1
- 2021Dynamical System Parameter Identification using Deep Recurrent Cell Networkscited by 0
- 2021Assured Neural Network Architectures for Control and Identification of Nonlinear Systemscited by 0
- 2023Safety Filter Design for Neural Network Systems via Convex Optimizationcited by 0
- 2025Symbolic Learning of Interpretable Reduced-Order Models for Jumping Quadruped Robotscited by 0
- 2026Frequency-Domain Neural ODEs for Modeling Non-Linear Dynamical Systems20 Jun 2026
- 2026Deep learning-based pavement performance modeling using multiple distress indicators and road work history3 May 2026
- 2025Symbolic Learning of Interpretable Reduced-Order Models for Jumping Quadruped Robots4 Aug 2025
- 2025Data-driven identification of nonlinear dynamical systems with LSTM autoencoders and Normalizing Flows5 Mar 2025
- 2023Safety Filter Design for Neural Network Systems via Convex Optimization16 Aug 2023
- 2023Physics-Informed Machine Learning for Modeling and Control of Dynamical Systems24 Jun 2023
- 2022Gradient-Based Trajectory Optimization With Learned Dynamics9 Apr 2022
- 2022Neural Ordinary Differential Equations for Nonlinear System Identification28 Feb 2022
- 2022Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning11 Feb 2022
- 2021Constructing Neural Network-Based Models for Simulating Dynamical Systems2 Nov 2021
- 2021A Neural Network Ensemble Approach to System Identification15 Oct 2021
- 2021Assured Neural Network Architectures for Control and Identification of Nonlinear Systems21 Sep 2021
- 2021Constructing Neural Network-Based Models for Simulating Dynamical Systemscited by 29
- 2023Physics-Informed Machine Learning for Modeling and Control of Dynamical Systemscited by 28
- 2022Neural Ordinary Differential Equations for Nonlinear System Identificationcited by 14
- 2022Gradient-Based Trajectory Optimization With Learned Dynamicscited by 7
- 2021Recurrent Neural Network-based Internal Model Control design for stable nonlinear systemscited by 5
- 2022Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learningcited by 5
- 2021A Neural Network Ensemble Approach to System Identificationcited by 1
- 2025Data-driven identification of nonlinear dynamical systems with LSTM autoencoders and Normalizing Flowscited by 1
- 2021Dynamical System Parameter Identification using Deep Recurrent Cell Networkscited by 0
- 2021Assured Neural Network Architectures for Control and Identification of Nonlinear Systemscited by 0
- 2023Safety Filter Design for Neural Network Systems via Convex Optimizationcited by 0
- 2025Symbolic Learning of Interpretable Reduced-Order Models for Jumping Quadruped Robotscited by 0
12 most cited of 14 All 14 (JSON)
- 2026Frequency-Domain Neural ODEs for Modeling Non-Linear Dynamical Systems20 Jun 2026
- 2026Deep learning-based pavement performance modeling using multiple distress indicators and road work history3 May 2026
- 2025Symbolic Learning of Interpretable Reduced-Order Models for Jumping Quadruped Robots4 Aug 2025
- 2025Data-driven identification of nonlinear dynamical systems with LSTM autoencoders and Normalizing Flows5 Mar 2025
- 2023Safety Filter Design for Neural Network Systems via Convex Optimization16 Aug 2023
- 2023Physics-Informed Machine Learning for Modeling and Control of Dynamical Systems24 Jun 2023
- 2022Gradient-Based Trajectory Optimization With Learned Dynamics9 Apr 2022
- 2022Neural Ordinary Differential Equations for Nonlinear System Identification28 Feb 2022
- 2022Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning11 Feb 2022
- 2021Constructing Neural Network-Based Models for Simulating Dynamical Systems2 Nov 2021
- 2021A Neural Network Ensemble Approach to System Identification15 Oct 2021
- 2021Assured Neural Network Architectures for Control and Identification of Nonlinear Systems21 Sep 2021
12 newest of 14 All 14 (JSON)