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State space systems and experimental system identification are essential components of control education. Early introduction of these tools to the curriculum of a control laboratory in an interconnected and accessible manner that does not…

Systems and Control · Electrical Eng. & Systems 2020-01-14 Ahmad A. Masoud , Mohammad Abu-Ali , Ali Al-Shaikhi

The dynamics of many-body systems can often be captured in terms of only a few relevant variables. Mathematical and numerical approaches exist to identify these variables by exploiting a separation of time scales between slow relevant and…

Machine learning presents a general, systematic framework for the generation of formal theoretical models for physical description and prediction. Tentatively standard linear modeling techniques are reviewed; followed by a brief discussion…

General Physics · Physics 2021-05-20 Alexander Svozil , Karl Svozil

Accuracy and generalization capabilities are key objectives when learning dynamical system models. To obtain such models from limited data, current works exploit prior knowledge and assumptions about the system. However, the fusion of…

Machine Learning · Statistics 2025-08-22 Björn Volkmann , Jan-Hendrik Ewering , Michael Meindl , Simon F. G. Ehlers , Thomas Seel

In this paper, we propose a unified framework for identifying interpretable nonlinear dynamical models that preserve physical properties. The proposed approach integrates physical principles with black-box basis functions to compensate for…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa

This paper reports a robust scheme for topology identification and control of networks running on linear dynamics. In the proposed method, the unknown network is enforced to asymptotically follow a reference dynamics using the combination…

Optimization and Control · Mathematics 2014-06-18 Mahyar Fazlyab , Victor M. Preciado

Recent literature has shown how linear time-invariant (LTI) systems can be represented by trajectories features, that is relying on a single input-output (IO) data dictionary to span all possible system trajectories, as long as the input is…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Marcelo Menezes Morato , Julio Elias Normey-Rico , Olivier Sename

We introduce Neural Dynamical Systems (NDS), a method of learning dynamical models in various gray-box settings which incorporates prior knowledge in the form of systems of ordinary differential equations. NDS uses neural networks to…

This work aims to improve generalization and interpretability of dynamical systems by recovering the underlying lower-dimensional latent states and their time evolutions. Previous work on disentangled representation learning within the…

Machine Learning · Computer Science 2024-06-07 Çağlar Hızlı , Çağatay Yıldız , Matthias Bethge , ST John , Pekka Marttinen

This paper introduces operators, semantics, characterizations, and solution-independent conditions to guarantee temporal logic specifications for hybrid dynamical systems. Hybrid dynamical systems are given in terms of differential…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Hyejin Han , Ricardo G. Sanfelice

Intelligent agents need a physical understanding of the world to predict the impact of their actions in the future. While learning-based models of the environment dynamics have contributed to significant improvements in sample efficiency…

Machine Learning · Computer Science 2020-05-20 Eric Heiden , David Millard , Hejia Zhang , Gaurav S. Sukhatme

By transforming identification and control for nonlinear system into optimization problems, a novel optimization method named state transition algorithm (STA) is introduced to solve the problems. In the proposed STA, a solution to a…

Optimization and Control · Mathematics 2015-11-18 Xiaojun Zhou , Chunhua Yang , Weihua Gui

Deep learning is a topic of considerable current interest. The availability of massive data collections and powerful software resources has led to an impressive amount of results in many application areas that reveal essential but hidden…

Machine Learning · Computer Science 2023-01-31 Gianluigi Pillonetto , Aleksandr Aravkin , Daniel Gedon , Lennart Ljung , Antônio H. Ribeiro , Thomas B. Schön

In this paper, an original result in terms of a sufficient condition to test identifiability of nonlinear delayed-differential models with constant delays and multi-inputs is given. The identifiability is studied for the linearized system…

Dynamical Systems · Mathematics 2010-09-10 Carine Jauberthie , Louise Travé-Massuyès

Control of a dynamical system without the knowledge of dynamics is an important and challenging task. Modern machine learning approaches, such as deep neural networks (DNNs), allow for the estimation of a dynamics model from control inputs…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Suruchi Sharma , Volodymyr Makarenko , Gautam Kumar , Stas Tiomkin

In this paper, we address the problem of system identification and control of a front-steered vehicle which abides by the Ackermann geometry constraints. This problem arises naturally for on-road and off-road vehicles that require reliable…

Robotics · Computer Science 2023-11-09 Burak M. Gonultas , Pratik Mukherjee , O. Goktug Poyrazoglu , Volkan Isler

This paper addresses the challenge of overfitting in the learning of dynamical systems by introducing a novel approach for the generation of synthetic data, aimed at enhancing model generalization and robustness in scenarios characterized…

Machine Learning · Computer Science 2024-03-11 Dario Piga , Matteo Rufolo , Gabriele Maroni , Manas Mejari , Marco Forgione

Increasingly stringent performance requirements for motion control necessitate the use of increasingly detailed models of the system behavior. Motion systems inherently move, therefore, spatio-temporal models of the flexible dynamics are…

Systems and Control · Computer Science 2020-03-02 Robbert Voorhoeve , Robin de Rozario , Wouter Aangenent , Tom Oomen

Linear time-invariant systems are very popular models in system theory and applications. A fundamental problem in system identification that remains rather unaddressed in extant literature is to leverage commonalities amongst related linear…

Machine Learning · Statistics 2024-01-03 Aditya Modi , Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Inferring the structure and dynamics of network models is critical to understanding the functionality and control of complex systems, such as metabolic and regulatory biological networks. The increasing quality and quantity of experimental…

Dynamical Systems · Mathematics 2016-05-27 Niall M. Mangan , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz