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Recurrent Neural Networks (RNNs) have been a prominent concept within artificial intelligence. They are inspired by Biological Neural Networks (BNNs) and provide an intuitive and abstract representation of how BNNs work. Derived from the…

Neural and Evolutionary Computing · Computer Science 2017-03-09 Stefano Nichele , Andreas Molund

Control theory of dynamical systems offers a powerful framework for tackling challenges in deep neural networks and other machine learning architectures. We show that concepts such as simultaneous and ensemble controllability offer new…

Optimization and Control · Mathematics 2025-12-19 Enrique Zuazua

In this paper, we present a data-driven controller design method for continuous-time nonlinear systems, using no model knowledge but only measured data affected by noise. While most existing approaches focus on systems with polynomial…

Systems and Control · Electrical Eng. & Systems 2022-02-11 Robin Strässer , Julian Berberich , Frank Allgöwer

In this paper, we show the implementation of deep neural networks applied in process control. In our approach, we based the training of the neural network on model predictive control. Model predictive control is popular for its ability to…

Machine Learning · Computer Science 2019-12-11 Karol Kiš , Martin Klaučo

Reservoir Computing is a class of simple yet efficient Recurrent Neural Networks where internal weights are fixed at random and only a linear output layer is trained. In the large size limit, such random neural networks have a deep…

Machine Learning · Statistics 2021-02-18 Jonathan Dong , Ruben Ohana , Mushegh Rafayelyan , Florent Krzakala

Neural networks have revolutionized the area of artificial intelligence and introduced transformative applications to almost every scientific field and industry. However, this success comes at a great price; the energy requirements for…

We consider the problem of designing a machine learning-based model of an unknown dynamical system from a finite number of (state-input)-successor state data points, such that the model obtained is also suitable for optimal control design.…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Filippo Fabiani , Bartolomeo Stellato , Daniele Masti , Paul J. Goulart

Many recent machine learning models rely on fine-grained dynamic control flow for training and inference. In particular, models based on recurrent neural networks and on reinforcement learning depend on recurrence relations, data-dependent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Yuan Yu , Martín Abadi , Paul Barham , Eugene Brevdo , Mike Burrows , Andy Davis , Jeff Dean , Sanjay Ghemawat , Tim Harley , Peter Hawkins , Michael Isard , Manjunath Kudlur , Rajat Monga , Derek Murray , Xiaoqiang Zheng

We present a new neuroadaptive architecture: Deep Neural Network based Model Reference Adaptive Control (DMRAC). Our architecture utilizes the power of deep neural network representations for modeling significant nonlinearities while…

Machine Learning · Computer Science 2019-09-19 Girish Joshi , Girish Chowdhary

The prediction of stochastic dynamical systems and the capture of dynamical behaviors are profound problems. In this article, we propose a data-driven framework combining Reservoir Computing and Normalizing Flow to study this issue, which…

Dynamical Systems · Mathematics 2023-08-01 Cheng Fang , Yubin Lu , Ting Gao , Jinqiao Duan

The prediction of time series is a challenging task relevant in such diverse applications as analyzing financial data, forecasting flow dynamics or understanding biological processes. Especially chaotic time series that depend on a long…

Machine Learning · Computer Science 2024-12-06 Johannes Viehweg , Dominik Walther , Patrick Mäder

A reservoir computer is a type of dynamical system arranged to do computation. Typically, a reservoir computer is constructed by connecting a large number of nonlinear nodes in a network that includes recurrent connections. In order to…

Neural and Evolutionary Computing · Computer Science 2024-06-19 Thomas L. Carroll , Joseph D. Hart

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

Dynamical Systems · Mathematics 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

Using transformers over large generated datasets, we train models to learn mathematical properties of differential systems, such as local stability, behavior at infinity and controllability. We achieve near perfect prediction of qualitative…

Machine Learning · Computer Science 2021-03-22 François Charton , Amaury Hayat , Guillaume Lample

In response to the trade-off between control performance and computational burden hindering the deployment of Deep Reinforcement Learning (DRL) in power inverters, this paper presents a novel model-free control framework leveraging policy…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Yang Yang , Chenggang Cui , Xitong Niu , Jiaming Liu , Chuanlin Zhang

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

A new "model-free" control methodology is applied to a boost power converter. The properties of the boost converter allow to evaluate the performances of the model-free strategy in the case of switching nonlinear transfer functions,…

Systems and Control · Computer Science 2013-10-10 Loïc Michel , Wim Michiels , Xavier Boucher

Control of machine learning models has emerged as an important paradigm for a broad range of robotics applications. In this paper, we present a sampling-based nonlinear model predictive control (NMPC) approach for control of neural network…

Robotics · Computer Science 2022-10-06 Iman Askari , Babak Badnava , Thomas Woodruff , Shen Zeng , Huazhen Fang

Reservoir computing offers an energy-efficient alternative to deep neural networks (DNNs) by replacing complex hidden layers with a fixed nonlinear system and training only the final layer. This work investigates nanoelectromechanical…

Applied Physics · Physics 2024-09-26 Enise Kartal , Yunus Selcuk , Batuhan E. Kaynak , M. Taha Yildiz , Cenk Yanik , M. Selim Hanay

In applications, an anticipated situation is where the system of interest has never been encountered before and sparse observations can be made only once. Can the dynamics be faithfully reconstructed from the limited observations without…

Machine Learning · Computer Science 2024-10-29 Zheng-Meng Zhai , Jun-Yin Huang , Benjamin D. Stern , Ying-Cheng Lai