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The application of reinforcement learning to safety-critical systems is limited by the lack of formal methods for verifying the robustness and safety of learned policies. This paper introduces a novel framework that addresses this gap by…

Artificial Intelligence · Computer Science 2025-08-22 Ahmed Nasir , Abdelhafid Zenati

Partially Observable Markov Decision Processes (POMDPs) can model complex sequential decision-making problems under stochastic and uncertain environments. A main reason hindering their broad adoption in real-world applications is the lack…

In this paper, the variable wind power is incorporated into the dynamic model for long-term stability analysis. A theory-based method is proposed for power systems with wind power to conduct long-term stability analysis, which is able to…

Systems and Control · Computer Science 2016-11-15 Xiaozhe Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu , Tao Wang

We consider the problem of designing control laws for stochastic jump linear systems where the disturbances are drawn randomly from a finite sample space according to an unknown distribution, which is estimated from a finite sample of…

Systems and Control · Computer Science 2019-10-31 Mathijs Schuurmans , Pantelis Sopasakis , Panagiotis Patrinos

Reachability analysis is an important method in providing safety guarantees for systems with unknown or uncertain dynamics. Due to the computational intractability of exact reachability analysis for general nonlinear, high-dimensional…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Elizabeth Dietrich , Rosalyn Devonport , Stephen Tu , Murat Arcak

A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. We introduce and study…

Optimization and Control · Mathematics 2016-10-19 Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

The problem of computing the reachable set for a given system is a quintessential question in nonlinear control theory. While previous work has yielded a plethora of approximate and analytical methods for determining such a set, these…

Optimization and Control · Mathematics 2020-12-29 Melkior Ornik

This paper investigates model robustness in reinforcement learning (RL) to reduce the sim-to-real gap in practice. We adopt the framework of distributionally robust Markov decision processes (RMDPs), aimed at learning a policy that…

Machine Learning · Computer Science 2025-09-09 Laixi Shi , Gen Li , Yuting Wei , Yuxin Chen , Matthieu Geist , Yuejie Chi

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Voltage instability is one of the main causes of power system blackouts. Emerging technologies such as renewable energy integration, distributed energy resources and demand responses may introduce significant uncertainties in analyzing of…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Dan Wu , Franz-Erich Wolter , Bin Wang , Le Xie

We consider data-driven reachability analysis of discrete-time stochastic dynamical systems using conformal inference. We assume that we are not provided with a symbolic representation of the stochastic system, but instead have access to a…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Navid Hashemi , Xin Qin , Lars Lindemann , Jyotirmoy V. Deshmukh

We introduce Harmonic Robustness, a powerful and intuitive method to test the robustness of any machine-learning model either during training or in black-box real-time inference monitoring without ground-truth labels. It is based on…

Machine Learning · Computer Science 2024-04-30 Nicholas S. Kersting , Yi Li , Aman Mohanty , Oyindamola Obisesan , Raphael Okochu

When learning behavior, training data is often generated by the learner itself; this can result in unstable training dynamics, and this problem has particularly important applications in safety-sensitive real-world control tasks such as…

Machine Learning · Computer Science 2019-10-10 Vibhavari Dasagi , Jake Bruce , Thierry Peynot , Jürgen Leitner

The vulnerability of artificial intelligence (AI) and machine learning (ML) against adversarial disturbances and attacks significantly restricts their applicability in safety-critical systems including cyber-physical systems (CPS) equipped…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Weiming Xiang , Hoang-Dung Tran , Xiaodong Yang , Taylor T. Johnson

Rayleigh-Taylor (RT) instability commonly arises in compressible systems with time-dependent acceleration in practical applications. To capture the complex dynamics of such systems, a two-component discrete Boltzmann method is developed to…

Fluid Dynamics · Physics 2025-04-08 Huilin Lai , Chuandong Lin , Hao Xu , Hailong Liu , Demei Li , Bailing Chen

Robustness analysis is an emerging field in the domain of uncertainty quantification. It consists of analysing the response of a computer model with uncertain inputs to the perturbation of one or several of its input distributions. Thus, a…

Statistics Theory · Mathematics 2020-12-16 Clement Gauchy , Jerome Stenger , Roman Sueur , Bertrand Iooss

Simultaneous load forecasting across multiple entities (e.g., regions, buildings) is crucial for the efficient, reliable, and cost-effective operation of power systems. Accurate load forecasting is a challenging problem due to the inherent…

Machine Learning · Computer Science 2026-01-21 Onintze Zaballa , Verónica Álvarez , Santiago Mazuelas

Under voltage load shedding has been considered as a standard and effective measure to recover the voltage stability of the electric power grid under emergency and severe conditions. However, this scheme usually trips a massive amount of…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Thanh Long Vu , Sayak Mukherjee , Renke Huang , Qiuhua Hung

Timely recognition of voltage instability is crucial to allow for effective control and protection interventions. Phasor measurements units (PMUs) can be utilized to provide high sampling rate time-synchronized voltage and current phasors…

Systems and Control · Computer Science 2013-08-05 R. Leelaruji , L. Vanfretti , J. O. Gjerde , S. Lovlund

Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural variability of load models make the stability assessment especially…

Systems and Control · Computer Science 2015-04-15 Hung D. Nguyen , Konstantin Turitsyn
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