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This paper introduces a multiple-input discrete Urysohn operator for modelling non-linear control systems and a technique of its identification by processing the observed input and output signals. It is shown that, due to the nature of the…

Optimization and Control · Mathematics 2020-04-07 Michael Poluektov , Andrew Polar

In this paper we show how nonlinear internal models can be effectively used in the design of output regulators for nonlinear systems. This result provides a significant enhancement of the non-equilibrium theory for output regulation, which…

Optimization and Control · Mathematics 2007-05-23 C. I. Byrnes , A. Isidori

We propose a policy search approach to learn controllers from specifications given as Signal Temporal Logic (STL) formulae. The system model, which is unknown but assumed to be an affine control system, is learned together with the control…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Wenliang Liu , Mirai Nishioka , Calin Belta

We introduce a data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the assumption that the nonlinear system behaves…

Optimization and Control · Mathematics 2016-04-04 Jake Bouvrie , Boumediene Hamzi

This article addresses the output regulation problem for a class of nonlinear systems using a data-driven approach. An output feedback controller is proposed that integrates a traditional control component with a data-driven learning…

Systems and Control · Electrical Eng. & Systems 2025-06-12 Telema Harry , Martin Guay , Shimin Wang , Richard D. Braatz

Predictive control, which is based on a model of the system to compute the applied input optimizing the future system behavior, is by now widely used. If the nominal models are not given or are very uncertain, data-driven model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Hoang Hai Nguyen , Maurice Friedel , Rolf Findeisen

A learning method is proposed for Koopman operator-based models with the goal of improving closed-loop control behavior. A neural network-based approach is used to discover a space of observables in which nonlinear dynamics is linearly…

Optimization and Control · Mathematics 2023-03-23 Daisuke Uchida , Karthik Duraisamy

The use of machine learning models in system identification has increased due to their ability to approximate complex nonlinear dynamics with high accuracy. However, often it is not clear how the performance of trained models scales with…

Optimization and Control · Mathematics 2026-03-26 Marco Roschkowski , Karim Cherifi , Hannes Gernandt

We consider the tracking of geometric paths in output spaces of nonlinear systems subject to input and state constraints without pre-specified timing requirements. Such problems are commonly referred to as constrained output path-following…

Systems and Control · Computer Science 2017-07-18 Timm Faulwasser , Rolf Findeisen

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

Optimization and Control · Mathematics 2007-05-23 R. Ordonez , K. M. Passino

The theory of network identification, namely identifying the (weighted) interaction topology among a known number of agents, has been widely developed for linear agents. However, the theory for nonlinear agents using probing inputs is far…

Systems and Control · Computer Science 2025-01-29 Miel Sharf , Daniel Zelazo

The focus of this paper is on linear system identification in the setting where it is known that the underlying partially-observed linear dynamical system lies within a finite collection of known candidate models. We first consider the…

Optimization and Control · Mathematics 2024-04-15 Haoyuan Sun , Ali Jadbabaie

Recent work have shown how the optimal state-feedback, obtained as the solution to the Hamilton-Jacobi-Bellman equations, can be approximated for several nonlinear, deterministic systems by deep neural networks. When imitation (supervised)…

Neural and Evolutionary Computing · Computer Science 2019-04-02 Dario Izzo , Dharmesh Tailor , Thomas Vasileiou

This paper investigates the linear output regulation problem with both the exosystem and the plant fully unknown. A data-driven regulator is proposed to achieve asymptotic regulation and closed-loop stability without performing model…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Shangkun Liu , Lei Wang , Bowen Yi

Learning to control unknown nonlinear dynamical systems is a fundamental problem in reinforcement learning and control theory. A commonly applied approach is to first explore the environment (exploration), learn an accurate model of it…

Machine Learning · Computer Science 2023-06-16 Andrew Wagenmaker , Guanya Shi , Kevin Jamieson

This paper presents an algorithm to apply nonlinear control design approaches in the case of stochastic systems with partial state observation. Deterministic nonlinear control approaches are formulated under the assumption of full state…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Mohammad S. Ramadan , Mohammad Alsuwaidan , Ahmed Atallah , Sylvia Herbert

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

Optimization and Control · Mathematics 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

Understanding control mechanisms in biological systems plays a crucial role in important applications, for instance in cell reprogramming. Boolean modeling allows the identification of possible efficient strategies, helping to reduce the…

Molecular Networks · Quantitative Biology 2021-12-21 Laura Cifuentes-Fontanals , Elisa Tonello , Heike Siebert

It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classical result does not generalize to infinite-dimensional…

Optimization and Control · Mathematics 2021-07-29 Bernd Kolar , Markus Schöberl

We study identification and inference in nonlinear dynamic systems defined on unknown interaction networks. The system evolves through an unobserved dependence matrix governing cross-sectional shock propagation via a nonlinear operator. We…

Machine Learning · Statistics 2026-04-08 Diego Vallarino
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