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Estimating the region of attraction (ROA) of general nonlinear autonomous systems remains a challenging problem and requires a case-by-case analysis. Leveraging the universal approximation property of neural networks, in this paper, we…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Shaoru Chen , Mahyar Fazlyab , Manfred Morari , George J. Pappas , Victor M. Preciado

The theoretical unification of Nonlinear Model Predictive Control (NMPC) with Control Lyapunov Functions (CLFs) provides a framework for achieving optimal control performance while ensuring stability guarantees. In this paper we present the…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Ruben Grandia , Andrew J. Taylor , Andrew Singletary , Marco Hutter , Aaron D. Ames

Machine learning (ML) techniques, especially neural networks (NNs), have shown promise in learning subgrid-scale parameterizations for climate models. However, a major problem with data-driven parameterizations, particularly those learned…

Atmospheric and Oceanic Physics · Physics 2024-07-17 Hamid A. Pahlavan , Pedram Hassanzadeh , M. Joan Alexander

This article addresses the nonadaptive and robust output regulation problem of the general nonlinear output feedback system with error output. The global robust output regulation problem for a class of general output feedback nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Shimin Wang , Martin Guay , Richard D. Braatz

Recurrent Neural Networks (RNNs) have shown great success in modeling time-dependent patterns, but there is limited research on their learned representations of latent temporal features and the emergence of these representations during…

Machine Learning · Computer Science 2023-06-13 Peter DelMastro , Rushiv Arora , Edward Rietman , Hava T. Siegelmann

Learning complex trajectories from demonstrations in robotic tasks has been effectively addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning methods ensure stability of the generated trajectories;…

Robotics · Computer Science 2024-12-10 Andreas Sochopoulos , Michael Gienger , Sethu Vijayakumar

We introduce a method for learning provably stable deep neural network based dynamic models from observed data. Specifically, we consider discrete-time stochastic dynamic models, as they are of particular interest in practical applications…

Machine Learning · Computer Science 2021-03-30 Nathan P. Lawrence , Philip D. Loewen , Michael G. Forbes , Johan U. Backström , R. Bhushan Gopaluni

This paper presents a novel Lyapunov-based Adaptive Transformer (LyAT) controller for stochastic nonlinear systems. While transformers have shown promise in various control applications due to sequential modeling through self-attention…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Saiedeh Akbari , Xuehui Shen , Wenqian Xue , Jordan C. Insinger , Warren E. Dixon

As the integration of renewable energy generation increases and as conventional generation is phased out, there is a gradual decline in the grid's strength and resilience at the connection point of wind turbines (WTs). Previous studies have…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Sujay Ghosh , Mohammad Kazem Bakhshizadeh , Guangya Yang , Łukasz Kocewiak

Imitation learning presents an effective approach to alleviate the resource-intensive and time-consuming nature of policy learning from scratch in the solution space. Even though the resulting policy can mimic expert demonstrations…

Robotics · Computer Science 2024-09-04 Amin Abyaneh , Mariana Sosa Guzmán , Hsiu-Chin Lin

We propose a hybrid meta-learning framework for forecasting and anomaly detection in nonlinear dynamical systems characterized by nonstationary and stochastic behavior. The approach integrates a physics-inspired simulator that captures…

Machine Learning · Computer Science 2025-06-18 Abdullah Burkan Bereketoglu

We propose new methods for learning control policies and neural network Lyapunov functions for nonlinear control problems, with provable guarantee of stability. The framework consists of a learner that attempts to find the control and…

Machine Learning · Computer Science 2022-09-26 Ya-Chien Chang , Nima Roohi , Sicun Gao

Safety is a critical concern when deploying reinforcement learning agents for realistic tasks. Recently, safe reinforcement learning algorithms have been developed to optimize the agent's performance while avoiding violations of safety…

Machine Learning · Computer Science 2021-01-05 Baiming Chen , Zuxin Liu , Jiacheng Zhu , Mengdi Xu , Wenhao Ding , Ding Zhao

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

Meta-reinforcement learning (meta-RL) algorithms enable agents to adapt quickly to tasks from few samples in dynamic environments. Such a feat is achieved through dynamic representations in an agent's policy network (obtained via reasoning…

Neural and Evolutionary Computing · Computer Science 2022-04-27 Eseoghene Ben-Iwhiwhu , Jeffery Dick , Nicholas A. Ketz , Praveen K. Pilly , Andrea Soltoggio

Reinforcement Learning (RL) of robotic manipulation skills, despite its impressive successes, stands to benefit from incorporating domain knowledge from control theory. One of the most important properties that is of interest is control…

Robotics · Computer Science 2021-03-03 Shahbaz Abdul Khader , Hang Yin , Pietro Falco , Danica Kragic

We study risk-sensitive reinforcement learning (RL) based on an entropic risk measure in episodic non-stationary Markov decision processes (MDPs). Both the reward functions and the state transition kernels are unknown and allowed to vary…

Machine Learning · Computer Science 2022-11-22 Yuhao Ding , Ming Jin , Javad Lavaei

Reinforcement learning (RL) methods learn optimal decisions in the presence of a stationary environment. However, the stationary assumption on the environment is very restrictive. In many real world problems like traffic signal control,…

Machine Learning · Computer Science 2020-06-08 Sindhu Padakandla , Prabuchandran K. J , Shalabh Bhatnagar

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive…

Optimization and Control · Mathematics 2013-11-15 Corentin Briat

Trajectory planners of autonomous vehicles usually rely on physical models to predict the vehicle behavior. However, despite their suitability, physical models have some shortcomings. On the one hand, simple models suffer from larger model…

Robotics · Computer Science 2026-02-09 Lars Ullrich , Andreas Völz , Knut Graichen