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In this paper, a distributed Model Predictive Control strategy is developed for a multi zone building plant with disturbances. The control objective is to maintain each zones temperature at a specified level with the minimum cost of the…

Systems and Control · Computer Science 2019-02-28 Roja Eini , Sherif Abdelwahed

Recent years have seen a great increase in the capacity and parallel processing power of data centers and cloud services. To fully utilize the said distributed systems, optimal load balancing for parallel queuing architectures must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-10 Anam Tahir , Kai Cui , Heinz Koeppl

Mean field games and controls involve guiding the behavior of large populations of interacting agents, where each individual's influence on the group is negligible but collectively impacts overall dynamics. Hybrid systems integrate…

Optimization and Control · Mathematics 2024-12-17 Tejaswi K. C. , Taeyoung Lee

Mean field control provides a robust framework for coordinating large-scale populations with complex interactions and has wide applications across diverse fields. However, the inherent nonlinearity and the presence of unknown system…

Optimization and Control · Mathematics 2024-11-12 Yuhan Zhao , Juntao Chen , Yingdong Lu , Quanyan Zhu

Mean-Field Control (MFC) is a powerful tool to solve Multi-Agent Reinforcement Learning (MARL) problems. Recent studies have shown that MFC can well-approximate MARL when the population size is large and the agents are exchangeable.…

Machine Learning · Computer Science 2022-06-02 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

We study a multi-agent mean field type control problem in discrete time where the agents aim to find a socially optimal strategy and where the state and action spaces for the agents are assumed to be continuous. The agents are only weakly…

Optimization and Control · Mathematics 2025-04-01 Erhan Bayraktar , Nicole Bauerle , Ali Devran Kara

We propose a framework for the decentralized control of a team of agents that are assigned local tasks expressed as Linear Temporal Logic (LTL) formulas. Each local LTL task specification captures both the requirements on the respective…

Systems and Control · Computer Science 2014-05-09 Meng Guo , Jana Tumova , Dimos V. Dimarogonas

Mean field control (MFC) problems have been introduced to study social optima in very large populations of strategic agents. The main idea is to consider an infinite population and to simplify the analysis by using a mean field…

Optimization and Control · Mathematics 2023-03-01 Sebastian Baudelet , Brieuc Frénais , Mathieu Laurière , Amal Machtalay , Yuchen Zhu

This paper is concerned with a class of linear-quadratic stochastic large-population problems with partial information, where the individual agent only has access to a noisy observation process related to the state. The dynamics of each…

Optimization and Control · Mathematics 2024-08-20 Min Li , Na Li , Zhen Wu

We study the collective phenomena and constraints associated with the aggregation of individual cooling units from a statistical mechanics perspective. These units are modelled as Thermostatically Controlled Loads (TCLs) and represent zones…

Physics and Society · Physics 2022-08-30 Lucas Fuentes Valenzuela , Lindell Williams , Michael Chertkov

Demand response (DR) programs aim to engage distributed small-scale flexible loads, such as thermostatically controllable loads (TCLs), to provide various grid support services. Linearly Solvable Markov Decision Process (LS-MDP), a variant…

Systems and Control · Electrical Eng. & Systems 2020-04-22 Ali Hassan , Deepjyoti Deka , Michael Chertkov , Yury Dvorkin

Planning for distributed agents with partial state information is considered from a decision- theoretic perspective. We describe generalizations of both the MDP and POMDP models that allow for decentralized control. For even a small number…

Artificial Intelligence · Computer Science 2013-01-18 Daniel S Bernstein , Shlomo Zilberstein , Neil Immerman

We present the Distributed and Localized Model Predictive Control (DLMPC) algorithm for large-scale structured linear systems, wherein only local state and model information needs to be exchanged between subsystems for the computation and…

Optimization and Control · Mathematics 2020-09-14 Carmen Amo Alonso , Nikolai Matni

This paper introduces and analyzes a new class of mean-field control (\textsc{MFC}) problems in which agents interact through a \emph{fixed but controllable} network structure. In contrast with the classical \textsc{MFC} framework -- where…

Optimization and Control · Mathematics 2025-11-07 Mao Fabrice Djete

Tendon-Driven Continuum Robots (TDCRs) have the potential to be used in minimally invasive surgery and industrial inspection, where the robot must enter narrow and confined spaces. We propose a Model Predictive Control (MPC) approach to…

Robotics · Computer Science 2024-09-17 Maximillian Hachen , Chengnan Shentu , Sven Lilge , Jessica Burgner-Kahrs

Designing efficient and rigorous numerical methods for sequential decision-making under uncertainty is a difficult problem that arises in many applications frameworks. In this paper we focus on the numerical solution of a subclass of…

Statistics Theory · Mathematics 2025-11-07 Alice Cleynen , Benoîte de Saporta

In this paper, we propose an economic nonlinear model predictive control (MPC) algorithm for district heating networks (DHNs). The proposed method features prosumers, multiple producers, and storage systems, which are essential components…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Max Sibeijn , Saeed Ahmed , Mohammad Khosravi , Tamás Keviczky

We consider the problem of estimating parameter sensitivities for stochastic models of multiscale reaction networks. These sensitivity values are important for model analysis, and, the methods that currently exist for sensitivity estimation…

Probability · Mathematics 2018-10-02 Ankit Gupta , Mustafa Khammash

Improving the predictive accuracy of a dynamics model is crucial to obtaining good control performance and safety from Model Predictive Controllers (MPC). One approach involves learning unmodelled (residual) dynamics, in addition to nominal…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Leroy D'Souza , Yash Vardhan Pant , Sebastian Fischmeister

We propose a distributed model predictive control (MPC) framework for coordinating heterogeneous, nonlinear multi-agent systems under individual and coupling constraints. The cooperative task is encoded as a shared objective function…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Matthias Köhler , Matthias A. Müller , Frank Allgöwer
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