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This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

最优化与控制 · 数学 2023-05-15 Hui Xiao , Zhihong Wei

The control of ensembles of dynamical systems is an intriguing and challenging problem, arising for example in quantum control. We initiate the investigation of optimal control of ensembles of discrete-time systems, focusing on minimising…

最优化与控制 · 数学 2025-11-07 Christian Fiedler , Alessandro Scagliotti

In this paper, we present a generalization of the certainty equivalence principle of stochastic control. One interpretation of the classical certainty equivalence principle for linear systems with output feedback and quadratic costs is as…

最优化与控制 · 数学 2026-02-04 Berk Bozkurt , Aditya Mahajan , Ashutosh Nayyar , Yi Ouyang

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a…

最优化与控制 · 数学 2020-12-18 Sebastian Peitz , Sina Ober-Blöbaum , Michael Dellnitz

We study the problem of designing systems in order to minimize cost while meeting a given flexibility target. Flexibility is attained by enforcing a joint chance constraint, which ensures that the system will exhibit feasible operation with…

最优化与控制 · 数学 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

This paper tackles the multi-objective optimization of the cost functional of a path-following model predictive control for vehicle longitudinal and lateral control. While the inherent optimal character of the model predictive control and…

机器人学 · 计算机科学 2021-04-09 Ali Gharib , David Stenger , Robert Ritschel , Rick Voßwinkel

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

系统与控制 · 计算机科学 2015-04-21 Jie Fu , Ufuk Topcu

This article addresses the residential energy cost optimization problem in smart grid. To date, most of the previous research only consider a partial aspect of the cost optimization problem. As a result, they fail to analyze scenarios when…

系统与控制 · 计算机科学 2015-05-06 Muhammad Raisul Alam , Marc St-Hilaire , Thomas Kunz

A multi-task learning (MTL) system aims at solving multiple related tasks at the same time. With a fixed model capacity, the tasks would be conflicted with each other, and the system usually has to make a trade-off among learning all of…

机器学习 · 计算机科学 2021-02-16 Xi Lin , Zhiyuan Yang , Qingfu Zhang , Sam Kwong

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

Stochastic dual dynamic programming is a cutting plane type algorithm for multi-stage stochastic optimization originated about 30 years ago. In spite of its popularity in practice, there does not exist any analysis on the convergence rates…

最优化与控制 · 数学 2023-05-10 Guanghui Lan

Numerically computing global policies to optimal control problems for complex dynamical systems is mostly intractable. In consequence, a number of approximation methods have been developed. However, none of the current methods can quantify…

机器人学 · 计算机科学 2021-03-05 Ashwin Khadke , Hartmut Geyer

Demand response for residential users is essential to the realization of modern smart grids. This paper proposes a multiobjective approach to designing a demand response program that considers the energy costs of residential users and the…

系统与控制 · 电气工程与系统科学 2026-01-15 Wei-Yu Chiu , Jui-Ting Hsieh , Chia-Ming Chen

In multi-objective optimization, a single decision vector must balance the trade-offs between many objectives. Solutions achieving an optimal trade-off are said to be Pareto optimal: these are decision vectors for which improving any one…

最优化与控制 · 数学 2023-08-07 Abhishek Roy , Geelon So , Yi-An Ma

Complex systems are ubiquitous in nature and engineering, but their analysis and control are hampered by their high dimensionality and the influence of various factors on their dynamics. Dimensionality reduction aims to find a…

动力系统 · 数学 2023-05-08 Chengyi Tu , Jianhong Luo , Xuwei Pan

In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditional Pareto Fronts. Based on those quantities we can define…

最优化与控制 · 数学 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

Choosing control inputs randomly can result in a reduced expected cost in optimal control problems with stochastic constraints, such as stochastic model predictive control (SMPC). We consider a controller with initial randomization, meaning…

机器人学 · 计算机科学 2016-07-07 Masahiro Ono , Mahmoud El Chamie , Marco Pavone , Behcet Acikmese

Designing controllers for systems affected by model uncertainty can prove to be a challenge, especially when seeking the optimal compromise between the conflicting goals of identification and control. This trade-off is explicitly taken into…

系统与控制 · 电气工程与系统科学 2019-12-30 Elena Arcari , Lukas Hewing , Max Schlichting , Melanie N. Zeilinger

Classical deterministic optimal control problems assume full information about the controlled process. The theory of control for general partially-observable processes is powerful, but the methods are computationally expensive and typically…

最优化与控制 · 数学 2024-08-02 Dongping Qi , Adam Dhillon , Alexander Vladimirsky

The consensus control with optimal cost remains major challenging although consensus control problems have been well studied in recent years. In this paper, we study the consensus control of multi-agent system associated with a given cost…

最优化与控制 · 数学 2018-03-28 Juanjuan Xu , Huanshui Zhang