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Neural network controllers have shown potential in achieving superior performance in feedback control systems. Although a neural network can be trained efficiently using deep and reinforcement learning methods, providing formal guarantees…

Optimization and Control · Mathematics 2024-01-10 Han Wang , Zuxun Xiong , Liqun Zhao , Antonis Papachristodoulou

Graph neural networks are experiencing a surge of popularity within the machine learning community due to their ability to adapt to non-Euclidean domains and instil inductive biases. Despite this, their stability, i.e., their robustness to…

Machine Learning · Computer Science 2021-02-19 Henry Kenlay , Dorina Thanou , Xiaowen Dong

Recurrent neural policies are widely used in partially observable control and meta-RL tasks. Their abilities to maintain internal memory and adapt quickly to unseen scenarios have offered them unparalleled performance when compared to…

Machine Learning · Computer Science 2026-02-03 Jin Li , Yue Wu , Mengsha Huang , Yuhao Sun , Hao He , Xianyuan Zhan

Neural networks can be used as approximations of several complex control schemes such as model predictive control. We show in this paper which properties deep neural networks with rectifier linear units as activation functions need to…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Benjamin Karg , Sergio Lucia

In this paper we provide a set of stability conditions for linear time-invariant networked control systems with arbitrary topology, using a Lyapunov direct approach. We then use these stability conditions to provide a novel low-complexity…

Optimization and Control · Mathematics 2014-01-27 Mohammad Razeghi-Jahromi , Alireza Seyedi

This work introduces a data-driven control approach for stabilizing high-dimensional dynamical systems from scarce data. The proposed context-aware controller inference approach is based on the observation that controllers need to act…

Optimization and Control · Mathematics 2023-02-23 Steffen W. R. Werner , Benjamin Peherstorfer

In this paper, a method is presented to synthesize neural network controllers such that the feedback system of plant and controller is dissipative, certifying performance requirements such as L2 gain bounds. The class of plants considered…

Systems and Control · Electrical Eng. & Systems 2024-04-12 Neelay Junnarkar , Murat Arcak , Peter Seiler

Existing analyses of neural network training often operate under the unrealistic assumption of an extremely small learning rate. This lies in stark contrast to practical wisdom and empirical studies, such as the work of J. Cohen et al.…

Machine Learning · Computer Science 2023-10-20 Kwangjun Ahn , Sébastien Bubeck , Sinho Chewi , Yin Tat Lee , Felipe Suarez , Yi Zhang

Motivated by the fragility of neural network (NN) controllers in safety-critical applications, we present a data-driven framework for verifying the risk of stochastic dynamical systems with NN controllers. Given a stochastic control system,…

Systems and Control · Electrical Eng. & Systems 2022-11-14 Matthew Cleaveland , Lars Lindemann , Radoslav Ivanov , George Pappas

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

While conventional reinforcement learning focuses on designing agents that can perform one task, meta-learning aims, instead, to solve the problem of designing agents that can generalize to different tasks (e.g., environments, obstacles,…

Machine Learning · Computer Science 2021-09-06 Xiaowu Sun , Wael Fatnassi , Ulices Santa Cruz , Yasser Shoukry

Memory-Augmented Neural Networks (MANNs) are a class of neural networks equipped with an external memory, and are reported to be effective for tasks requiring a large long-term memory and its selective use. The core module of a MANN is…

Neural and Evolutionary Computing · Computer Science 2019-01-01 Naoya Taguchi , Yoshimasa Tsuruoka

We provide an empirical study of the stability of recurrent neural networks trained to recognize regular languages. When a small amount of noise is introduced into the activation function, the neurons in the recurrent layer tend to saturate…

Machine Learning · Computer Science 2021-06-18 Christian Oliva , Luis F. Lago-Fernández

Learning reliably safe autonomous control is one of the core problems in trustworthy autonomy. However, training a controller that can be formally verified to be safe remains a major challenge. We introduce a novel approach for learning…

Machine Learning · Computer Science 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik

Convolutional Neural Networks (CNNs) have recently emerged as the dominant model in computer vision. If provided with enough training data, they predict almost any visual quantity. In a discrete setting, such as classification, CNNs are not…

Computer Vision and Pattern Recognition · Computer Science 2015-11-25 Deepak Pathak , Philipp Krähenbühl , Stella X. Yu , Trevor Darrell

This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

Fluid Dynamics · Physics 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

Neural operators have emerged as powerful tools for learning solution operators of partial differential equations. However, in time-dependent problems, standard training strategies such as teacher forcing introduce a mismatch between…

Machine Learning · Computer Science 2025-05-28 Zaijun Ye , Chen-Song Zhang , Wansheng Wang

Model-based controllers can offer strong guarantees on stability and convergence by relying on physically accurate dynamic models. However, these are rarely available for high-dimensional mechanical systems such as deformable objects or…

Robotics · Computer Science 2026-02-10 Katharina Friedl , Noémie Jaquier , Seungyeon Kim , Jens Lundell , Danica Kragic

The design of tracking controllers that closely follow a reference trajectory while ensuring safety and robustness against disturbances is a challenging problem in the control of autonomous systems. In this work, we propose a neural…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Yuezhu Xu , Mohamed Serry , Jun Liu , S. Sivaranjani

Spiking neural networks (SNNs) are gaining popularity in deep learning due to their low energy budget on neuromorphic hardware. However, they still face challenges in lacking sufficient robustness to guard safety-critical applications such…

Neural and Evolutionary Computing · Computer Science 2024-06-03 Jianhao Ding , Zhiyu Pan , Yujia Liu , Zhaofei Yu , Tiejun Huang
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