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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

First-order systems of hyperbolic partial differential equations (PDEs) occur ubiquitously throughout computational physics, commonly used in simulations of fluid turbulence, shock waves, electromagnetic interactions, and even general…

Logic in Computer Science · Computer Science 2025-03-19 Jonathan Gorard , Ammar Hakim

This paper aims to enhance the computational efficiency of safety verification of neural network control systems by developing a guaranteed neural network model reduction method. First, a concept of model reduction precision is proposed to…

Machine Learning · Computer Science 2023-01-19 Weiming Xiang , Zhongzhu Shao

The Neural Network (NN), as a black-box function approximator, has been considered in many control and robotics applications. However, difficulties in verifying the overall system safety in the presence of uncertainties hinder the…

Robotics · Computer Science 2024-05-21 Xiao Li , Yutong Li , Anouck Girard , Ilya Kolmanovsky

Deep neural networks are vulnerable to backdoor attacks, where an adversary manipulates the model behavior through overlaying images with special triggers. Existing backdoor defense methods often require accessing a few validation data and…

Machine Learning · Computer Science 2025-08-20 Tao Sun , Lu Pang , Weimin Lyu , Chao Chen , Haibin Ling

Neural networks hold great potential to act as approximate models of nonlinear dynamical systems, with the resulting neural approximations enabling verification and control of such systems. However, in safety-critical contexts, the use of…

Machine Learning · Computer Science 2025-09-30 Frederik Baymler Mathiesen , Nikolaus Vertovec , Francesco Fabiano , Luca Laurenti , Alessandro Abate

Verifying safety of neural network control systems that use images as input is a difficult problem because, from a given system state, there is no known way to mathematically model what images are possible in the real-world. We build on…

Machine Learning · Computer Science 2025-04-30 Feiyang Cai , Chuchu Fan , Stanley Bak

Deep neural networks (DNN) are increasingly being used to learn controllers due to their excellent approximation capabilities. However, their black-box nature poses significant challenges to closed-loop stability guarantees and performance…

Robotics · Computer Science 2024-09-13 Jiajun Qian , Liang Xu , Xiaoqiang Ren , Xiaofan Wang

Microgrids could be the answer to integrating distributed energy resources into our power grid. It promises improved resilience, reliability, efficiency, and decarbonizing of our electric grid. This paper models a low voltage direct current…

Optimization and Control · Mathematics 2021-07-28 Aditya A Prasad

In this paper, we propose a system-level approach for verifying the safety of neural network controlled systems, combining a continuous-time physical system with a discrete-time neural network based controller. We assume a generic model for…

Artificial Intelligence · Computer Science 2020-11-11 Arthur Clavière , Eric Asselin , Christophe Garion , Claire Pagetti

In recent years, DC and AC microgrid (MG) systems have attracted a major attention due to various potential for integration of future technology into conventional systems and control. The integration of such technology requires appropriate…

Systems and Control · Electrical Eng. & Systems 2021-06-07 Mehrzad Mohammadi Bijaieh , Satish Vedula , Olugbenga Moses Anubi

We investigate scaling and efficiency of the deep neural network multigrid method (DNN-MG). DNN-MG is a novel neural network-based technique for the simulation of the Navier-Stokes equations that combines an adaptive geometric multigrid…

Numerical Analysis · Mathematics 2021-06-16 Nils Margenberg , Robert Jendersie , Thomas Richter , Christian Lessig

This paper introduces a novel framework for Edge Inference (EI) that bypasses the conventional practice of treating the wireless channel as noise. We utilize Stacked Intelligent Metasurfaces (SIMs) to control wireless propagation, enabling…

Emerging Technologies · Computer Science 2025-09-24 Kyriakos Stylianopoulos , George C. Alexandropoulos

We develop a hierarchical control architecture for autonomous docking maneuvers of a dynamic positioning vessel and provide formal safety guarantees. At the upper-level, we treat the vessel's desired surge, sway, and yaw velocities as…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Elizabeth Dietrich , Emir Cem Gezer , Bingzhuo Zhong , Murat Arcak , Majid Zamani , Roger Skjetne , Asgeir Johan Sørensen

We present evidence that multigrid (MG) works for wave equations in disordered systems, e.g. in the presence of gauge fields, no matter how strong the disorder. We introduce a "neural computations" point of view into large scale…

High Energy Physics - Lattice · Physics 2009-10-22 M. Baeker , G. Mack , M. Speh

This paper presents a multimodal control framework based on spiking neural networks (SNNs) for robotic arms aboard space stations. It is designed to cope with the constraints of limited onboard resources while enabling autonomous…

Robotics · Computer Science 2025-08-12 Liwen Zhang , Dong Zhou , Shibo Shao , Zihao Su , Guanghui Sun

To address non-linear disturbances and uncertainties in complex marine environments, this paper proposes a disturbance-resistant controller for deep-sea cranes. The controller integrates hierarchical sliding mode control, adaptive control,…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Qian Zuo , Shujie Wu , Yuzhe Qian

Efficient and robust control using spiking neural networks (SNNs) is still an open problem. Whilst behaviour of biological agents is produced through sparse and irregular spiking patterns, which provide both robust and efficient control,…

Neural and Evolutionary Computing · Computer Science 2023-07-18 Filip S. Slijkhuis , Sander W. Keemink , Pablo Lanillos

Computing pseudospectra of non-normal matrices is essential for understanding the stability and transient behavior of dynamical systems. Such analysis is critical in applications including fluid dynamics, control systems, and differential…

Numerical Analysis · Mathematics 2026-05-07 Amit Punia , Rakesh Kumar , Madan Lal

This paper presents a two-layer, four-level distributed control method for networked microgrid (NMG) systems, taking into account the proprietary nature of microgrid (MG) owners. The proposed control architecture consists of a MG-control…

Optimization and Control · Mathematics 2019-04-01 Xiaoyu Wu , Yin Xu , Xiangyu Wu , Jinghan He , Josep M. Guerrero , Chen-Ching Liu , Kevin P. Schneider , Dan T. Ton