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We study various generalizations of the secretary problem with submodular objective functions. Generally, a set of requests is revealed step-by-step to an algorithm in random order. For each request, one option has to be selected so as to…

数据结构与算法 · 计算机科学 2016-08-01 Thomas Kesselheim , Andreas Tönnis

This paper outlines an optimization framework for choosing fast and reliable control actions in a transmission grid emergency situation. We consider contractual load shedding and generation re-dispatch as exemplary emergency actions. To…

最优化与控制 · 数学 2017-07-25 Sidhant Misra , Line Roald , Marc Vuffray , Michael Chertkov

This paper presents a robust path-planning framework for safe spacecraft autonomy under uncertainty and develops a computationally tractable formulation based on convex programming. We utilize chance-constrained control to formulate the…

最优化与控制 · 数学 2024-04-19 Kenshiro Oguri

This paper presents a novel approach to stochastic economic model predictive control (SEMPC) that minimizes average economic cost while satisfying an empirical expected shortfall (EES) constraint to manage risk. A new scenario-based problem…

系统与控制 · 电气工程与系统科学 2025-10-31 Alireza Arastou , Algo Carè , Ye Wang , Marco Campi , Erik Weyer

This work quantifies the safety of trajectories of a dynamical system by the perturbation intensity required to render a system unsafe (crash into the unsafe set). Computation of this measure of safety is posed as a peak-minimizing optimal…

最优化与控制 · 数学 2024-10-02 Jared Miller , Mario Sznaier

The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to minimize a Bolza-type cost functional, which consists of two…

最优化与控制 · 数学 2019-09-25 Mikhail Gomoyunov

We consider the problem of maximizing a non-monotone DR-submodular function subject to a cardinality constraint. Diminishing returns (DR) submodularity is a generalization of the diminishing returns property for functions defined over the…

数据结构与算法 · 计算机科学 2017-09-05 Ali Khodabakhsh , Evdokia Nikolova

We study cluster synchronization of networks and propose a canonical transformation for simultaneous block diagonalization of matrices that we use to analyze stability of the cluster synchronous solution. Our approach has several advantages…

系统与控制 · 电气工程与系统科学 2021-11-10 Shirin Panahi , Isaac Klickstein , Francesco Sorrentino

As load varies continuously over time, it is essential to provide continuous-time price signals that accurately reflect supply-demand balance. However, conventional discrete-time economic dispatch fails to capture the intra-temporal…

系统与控制 · 电气工程与系统科学 2026-01-28 Menghan Zhang , Caisheng Wang

In this paper, we identify the smallest set of control input nodes and an associated output feedback law that achieves complete disturbance decoupling for a class of coupled oscillator networks. The focus is specifically on systems…

系统与控制 · 电气工程与系统科学 2026-04-17 Luca Claude Gino Lebon , Johan Lindberg , Claudio Altafini

A fast and scalable iterative methodology for solving the security-constrained optimal power flow (SCOPF) problem is proposed using problem decomposition and the inverse matrix modification lemma. The SCOPF formulation tackles system…

最优化与控制 · 数学 2024-07-22 Matias Vistnes , Vijay Venu Vadlamudi , Oddbjørn Gjerde

This paper considers a quadratically-constrained cardinality minimization problem with applications to digital filter design, subset selection for linear regression, and portfolio selection. Two relaxations are investigated: the continuous…

最优化与控制 · 数学 2012-10-19 Dennis Wei

In this paper, we present a framework for solving continuous optimal control problems when the true system dynamics are approximated through an imperfect model. We derive a control strategy by applying Pontryagin's Minimum Principle to the…

系统与控制 · 电气工程与系统科学 2026-03-31 Panagiotis Kounatidis , Andreas A. Malikopoulos

Optimization problems with convex quadratic cost and polyhedral constraints are ubiquitous in signal processing, automatic control and decision-making. We consider here an enlarged problem class that allows to encode logical conditions and…

最优化与控制 · 数学 2026-04-09 Alberto De Marchi

In this article, the formation mission design problem for commercial aircraft is studied. Given the departure times and the departure and arrival locations of several commercial flights, the relevant weather forecast, and the expected fuel…

最优化与控制 · 数学 2024-07-03 María Cerezo-Magaña , Alberto Olivares , Ernesto Staffetti

Agile attitude maneuvering maximizes the utility of remote sensing satellite constellations. By taking into account a satellite's physical properties and its actuator specifications, we may leverage the full performance potential of the…

系统与控制 · 电气工程与系统科学 2021-02-17 Emmanuel Sin , Sreeja Nag , Vinay Ravindra , Alan Li , Murat Arcak

The scenario approach is widely used in robust control system design and chance-constrained optimization, maintaining convexity without requiring assumptions about the probability distribution of uncertain parameters. However, the approach…

最优化与控制 · 数学 2024-12-10 Jaeseok Choi , Anand Deo , Constantino Lagoa , Anirudh Subramanyam

Determining contingency aware dispatch decisions by solving a security-constrained optimal power flow (SCOPF) is challenging for real-world power systems, as the high problem dimensionality often leads to impractical computational…

系统与控制 · 电气工程与系统科学 2020-05-19 Richard Weinhold , Robert Mieth

The global transition to battery electric buses (EBs) presents an opportunity to reduce air and noise pollution in urban areas. However, the adoption of EBs introduces challenges related to limited driving range, extended charging times,…

最优化与控制 · 数学 2025-03-26 Léa Ricard , Guy Desaulniers , Andrea Lodi , Louis-Martin Rousseau

Downtime of industrial assets such as wind turbines and medical imaging devices comes at a sharp cost. To avoid such downtime costs, companies seek to initiate maintenance just before failure. Unfortunately, this is challenging for the…