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This paper develops a robust control synthesis method for uncertain linear systems with input saturation in the framework of integral quadratic constraints (IQCs). The system is reformulated as a linear fractional representation (LFR) that…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Xu Zhang , Fen Wu

One of the primary goals of statistical precision medicine is to learn optimal individualized treatment rules (ITRs). The classification-based, or machine learning-based, approach to estimating optimal ITRs was first introduced in…

Methodology · Statistics 2024-06-18 Sophia Yazzourh , Nikki L. B. Freeman

Computation of general state- and/or control-constrained Optimal Control Problems (OCPs) is difficult for various constraints, especially the intractable path constraint. For such problems, the theoretical convergence of numerical…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Sheng Zhang , Jin-Mei Gao

Integral deferred correction (IDC) methods have been shown to be an efficient way to achieve arbitrary high order accuracy and possess good stability properties. In this paper, we construct high order operator splitting schemes using the…

Numerical Analysis · Mathematics 2015-05-20 Andrew J. Christlieb , Yuan Liu , Zhengfu Xu

This paper proposes a novel formulation of effective regional inertia that explicitly accounts for both system topology and the spatial distribution of inertia. Unlike traditional approaches that model a region as an aggregated machine with…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Bruno Pinheiro , Joe H. Chow , Federico Milano , Daniel Dotta

Optimal power flow (OPF) is an important problem for power generation and it is in general non-convex. With the employment of renewable energy, it will be desirable if OPF can be solved very efficiently so its solution can be used in real…

Optimization and Control · Mathematics 2011-09-27 Albert Y. S. Lam , Baosen Zhang , David Tse

The evaluation of Indoor Positioning Systems (IPS) mostly relies on local deployments in the researchers' or partners' facilities. The complexity of preparing comprehensive experiments, collecting data, and considering multiple scenarios…

Inverse optimization (IO) aims to determine optimization model parameters from observed decisions. However, IO is not part of a data scientist's toolkit in practice, especially as many general-purpose machine learning packages are widely…

Optimization and Control · Mathematics 2021-02-23 Elaheh H. Iraj , Daria Terekhov

A common network inference problem, arising from real-world data constraints, is how to infer a dynamic network from its time-aggregated adjacency matrix and time-varying marginals (i.e., row and column sums). Prior approaches to this…

Machine Learning · Statistics 2024-08-21 Serina Chang , Frederic Koehler , Zhaonan Qu , Jure Leskovec , Johan Ugander

Multiple operational constraints of power system stability are derived analytically and reformulated into Second-Order Cone (SOC) form through a unification method in Part I of this paper. The accuracy and conservativeness of the proposed…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

With massive penetrations of active grid-edge technologies, distributed computing and optimization paradigm has gained significant attention to solve distribution-level optimal power flow (OPF) problems. However, the application of generic…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Rabayet Sadnan , Anamika Dubey

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

Optimization and Control · Mathematics 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

In this paper, first a great number of inverse problems which arise in instrumentation, in computer imaging systems and in computer vision are presented. Then a common general forward modeling for them is given and the corresponding…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari

This study presents an innovative hybrid Visual-Inertial Odometry (VIO) method for Unmanned Aerial Vehicles (UAVs) that is resilient to environmental challenges and capable of dynamically assessing sensor reliability. Built upon a loosely…

Robotics · Computer Science 2025-12-22 Ufuk Asil , Efendi Nasibov

We introduce the Robustness of Hierarchically Organized Time Series (RHiOTS) framework, designed to assess the robustness of hierarchical time series forecasting models and algorithms on real-world datasets. Hierarchical time series, where…

Machine Learning · Computer Science 2024-08-08 Luis Roque , Carlos Soares , Luís Torgo

We study global optimization (GOP) in the framework of non-linear inverse problems with a unique solution. These problems are in general ill-posed. Evaluation of the objective function is often expensive, as it implies the solution of a…

Numerical Analysis · Mathematics 2007-05-23 W. Jacquet , B. Truyen , P. de Groen , I. Lemahieu , J. Cornelis

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

We study invariant measures for random countable (finite or infinite) conformal iterated function systems (IFS) with arbitrary overlaps. We do not assume any type of separation condition. We prove, under a mild assumption of finite entropy,…

Dynamical Systems · Mathematics 2015-03-24 Eugen Mihailescu , Mariusz Urbanski

In this paper, we study the Multi-Period Optimal Power Flow problem (MOPF) with electric vehicles (EV) under emission considerations. We integrate three different real-world datasets: household electricity consumption, marginal emission…

Optimization and Control · Mathematics 2023-05-16 Sezen Ece Kayacık , Burak Kocuk , Tuğçe Yüksel

The Extreme Operating Conditions Search (EOCS) problem is one of the key problems in relay setting calculation, which is used to ensure that the setting values of protection relays can adapt to the changing operating conditions of power…

Machine Learning · Computer Science 2025-06-25 Yan Li , Zengli Yang , Youhuai Wang , Jing Wang , Xiaoyu Han , Jingyu Wang , Dongyuan Shi
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