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Recurrent neural networks (RNNs) are a class of nonlinear dynamical systems often used to model sequence-to-sequence maps. RNNs have excellent expressive power but lack the stability or robustness guarantees that are necessary for many…

Machine Learning · Computer Science 2020-10-06 Max Revay , Ruigang Wang , Ian R. Manchester

Designing controllers that simultaneously achieve strong performance and provable closed-loop stability remains a central challenge in control engineering. This work introduces a diffusion-based generative framework for linear controller…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Matteo Cercola , Donatello Materassi , Simone Formentin

Neural network controllers have become popular in control tasks thanks to their flexibility and expressivity. Stability is a crucial property for safety-critical dynamical systems, while stabilization of partially observed systems, in many…

Systems and Control · Electrical Eng. & Systems 2021-12-08 Fangda Gu , He Yin , Laurent El Ghaoui , Murat Arcak , Peter Seiler , Ming Jin

Control design for general nonlinear robotic systems with guaranteed stability and/or safety in the presence of model uncertainties is a challenging problem. Recent efforts attempt to learn a controller and a certificate (e.g., a Lyapunov…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Vivek Sharma , Pan Zhao , Naira Hovakimyan

Learning models of dynamical systems characterized by specific stability properties is of crucial importance in applications. Existing results mainly focus on linear systems or some limited classes of nonlinear systems and stability…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Matteo Scandella , Michelangelo Bin , Thomas Parisini

This paper delves into designing stabilizing feedback control gains for continuous linear systems with unknown state matrix, in which the control is subject to a general structural constraint. We bring forth the ideas from reinforcement…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Sayak Mukherjee , Thanh Long Vu

The paper presents a robust parameter learning methodology for identification of nonlinear dynamical system from data while satisfying safety and stability constraints in the context of learning from demonstration (LfD) methods. Extreme…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Iman Salehi , Ghananeel Rotithor , Ashwin P. Dani

We investigate the important problem of certifying stability of reinforcement learning policies when interconnected with nonlinear dynamical systems. We show that by regulating the input-output gradients of policies, strong guarantees of…

Systems and Control · Computer Science 2018-10-30 Ming Jin , Javad Lavaei

We present a framework for learning of modeling uncertainties in Linear Time Invariant (LTI) systems. We propose a methodology to extend the dynamics of an LTI (without uncertainty) with an uncertainty model, based on measured data, to…

Systems and Control · Electrical Eng. & Systems 2023-11-01 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Demelash Abiye Deguale

Recurrent neural networks are capable of learning the dynamics of an unknown nonlinear system purely from input-output measurements. However, the resulting models do not provide any stability guarantees on the input-output mapping. In this…

Machine Learning · Computer Science 2022-12-19 Daniel Frank , Decky Aspandi Latif , Michael Muehlebach , Benjamin Unger , Steffen Staab

This paper proposes a novel approach to improve the performance of distributed nonlinear control systems while preserving stability by leveraging Deep Neural Networks (DNNs). We build upon the Neural System Level Synthesis (Neur-SLS)…

Optimization and Control · Mathematics 2024-08-01 Danilo Saccani , Leonardo Massai , Luca Furieri , Giancarlo Ferrari-Trecate

We study distributed control of networked systems through reinforcement learning, where neural policies must be simultaneously scalable, expressive and stabilizing. We introduce a policy parameterization that embeds Graph Neural Networks…

Systems and Control · Electrical Eng. & Systems 2026-05-27 John Cao , Luca Furieri

The stable combination of optimal feedback policies with online learning is studied in a new control-theoretic framework for uncertain nonlinear systems. The framework can be systematically used in transfer learning and sim-to-real…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Brett T. Lopez , Jean-Jacques E. Slotine

This paper presents a controller design and optimization framework for nonlinear dynamic systems to track a given reference signal in the presence of disturbances when the task is repeated over a finite-time interval. This novel framework…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jiapeng Xu , Ying Tan , Xiang Chen

This paper presents a method that learns a regionally stable recurrent neural network model from a set of input-output data generated by an unknown dynamical system. Relying on generalized sector conditions on the deadzone activation…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Daniel Frank , Fahim Shakib , Steffen Staab

In this paper, we focus on the problem about direct way to design a stable controller for nonlinear system. A framework of learning controller with Lyapunov-based constraint is proposed, which is intended to transform designing and analyis…

Systems and Control · Computer Science 2019-03-11 Me Le , Chi Yanxun , Li Zhiwei , Xu Dongfu , Zhang Yulong

Many practical applications of online reinforcement learning require the satisfaction of safety constraints while learning about the unknown environment. In this work, we establish theoretical foundations for reinforcement learning with…

Machine Learning · Statistics 2025-04-30 Benjamin Schiffer , Lucas Janson

Recurrent neural networks have proven effective in modeling sequential user feedbacks for recommender systems. However, they usually focus solely on item relevance and fail to effectively explore diverse items for users, therefore harming…

Machine Learning · Computer Science 2022-02-17 Hao Wang , Yifei Ma , Hao Ding , Yuyang Wang