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This paper addresses the problem of steering an initial probability distribution to a target probability distribution through a deterministic or stochastic linear control system. Our proposed approach is inspired by the flow matching…

Optimization and Control · Mathematics 2025-01-15 Yuhang Mei , Mohammad Al-Jarrah , Amirhossein Taghvaei , Yongxin Chen

The functionality of an entity frequently necessitates the support of a group situated in another layer of the system. To unravel the profound impact of such group support on a system's resilience against cascading failures, we devise a…

Physics and Society · Physics 2024-08-05 Lei Chen , Chunxiao Jia , Run-Ran Liu , Fanyuan Meng

In this paper we present novel methodology for automatic anomaly and switch event filtering to improve load estimation in power grid systems. By leveraging unsupervised methods with supervised optimization, our approach prioritizes…

Machine Learning · Computer Science 2024-10-24 Roel Bouman , Linda Schmeitz , Luco Buise , Jacco Heres , Yuliya Shapovalova , Tom Heskes

We develop a systemic risk framework to explore cascading systemic failures in networked control systems. A time-delayed version of the vehicle platooning problem is used as a benchmark to study the interplay among network connectivity,…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Guangyi Liu , Christoforos Somarakis , Nader Motee

Localized perturbations in a real-world network have the potential to trigger cascade failures at the whole system level, hindering its operations and functions. Standard approaches analytically tackling this problem are mostly based either…

Physics and Society · Physics 2022-04-19 Angelo Valente , Manlio De Domenico , Oriol Artime

In this paper we present new (stochastic) passivity properties for Direct Current (DC) power networks, where the unknown and unpredictable load demand is modelled by a stochastic process. More precisely, the considered power network…

Optimization and Control · Mathematics 2020-10-27 Amirreza Silani , Michele Cucuzzella , Jacquelien M. A. Scherpen , Mohammad Javad Yazdanpanah

The risk of cascading blackouts greatly relies on failure probabilities of individual components in power grids. To quantify how component failure probabilities (CFP) influences blackout risk (BR), this paper proposes a sample-induced…

Optimization and Control · Mathematics 2017-11-08 Jinpeng Guo , Feng Liu , Jianhui Wang , Ming Cao , Shengwei Mei

We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

We study the trajectory optimization problem under chance constraints for continuous-time stochastic systems. To address chance constraints imposed on the entire stochastic trajectory, we propose a framework based on the set erosion…

Optimization and Control · Mathematics 2025-04-08 Zishun Liu , Liqian Ma , Yongxin Chen

A stochastic Model Predictive Control strategy for control systems with communication networks between the sensor node and the controller and between the controller and the actuator node is proposed. Data packets are subject to random…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Marijan Palmisano , Martin Steinberger , Martin Horn

In the context of epidemic spreading, many intricate dynamical patterns can emerge due to the cooperation of different types of pathogens or the interaction between the disease spread and other failure propagation mechanism. To unravel such…

Physics and Society · Physics 2024-05-07 Bo Li , David Saad

The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Part I of this paper embeds the AC power flow problem with voltage control and exponential load model in the complex plane. Modeling the action of network controllers that regulate the magnitude of voltage phasors is a challenging task in…

Systems and Control · Computer Science 2016-09-07 Sina Sadeghi Baghsorkhi , Sergey Pavlovich Suetin

Forced oscillation event in power grids refers to a state where malfunctioning or abnormally operating equipment causes persisting periodic disturbances in the system. While power grids are designed to damp most of perturbations during…

Adaptation and Self-Organizing Systems · Physics 2023-06-12 Robin Delabays , Andrey Y. Lokhov , Melvyn Tyloo , Marc Vuffray

We study cascading failures in a system comprising interdependent networks/systems, in which nodes rely on other nodes both in the same system and in other systems to perform their function. The (inter-)dependence among nodes is modeled…

Applications · Statistics 2018-02-13 Richard J. La

Critical infrastructures are becoming increasingly complex as our society becomes increasingly dependent on them. This complexity opens the door to new possibilities for attacks and a need for new defense strategies. Our work focuses on…

Machine Learning · Computer Science 2025-10-10 Justin Tackett , Benjamin Francis , Luis Garcia , David Grimsman , Sean Warnick

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

Systems and Control · Computer Science 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper aims to…

Systems and Control · Computer Science 2019-04-17 Chao Zhai , Gaoxi Xiao , Hehong Zhang , Tso-Chien Pan

We discuss the frequency of desynchronization events in power grids for realistic data input. We focus on the role of time correlations in the fluctuating power production and propose a new method for implementing colored noise that…

Adaptation and Self-Organizing Systems · Physics 2022-11-11 Tim Ritmeester , Hildegard Meyer-Ortmanns
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