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Optimal control of thermostatically controlled loads connected to a district heating network is considered a sequential decision- making problem under uncertainty. The practicality of a direct model-based approach is compromised by two…

Systems and Control · Computer Science 2017-02-27 Bert J. Claessens , Dirk Vanhoudt , Johan Desmedt , Frederik Ruelens

In this work, we systematically investigate mean field games and mean field type control problems with multiple populations using a coupled system of forward-backward stochastic differential equations of McKean-Vlasov type stemming from…

Probability · Mathematics 2020-11-03 Masaaki Fujii

In this paper, we study the controllability and stabilizability properties of the Kolmogorov forward equation of a continuous time Markov chain (CTMC) evolving on a finite state space, using the transition rates as the control parameters.…

Systems and Control · Computer Science 2017-03-29 Karthik Elamvazhuthi , Vaibhav Deshmukh , Matthias Kawski , Spring Berman

We develop safe protocols for thermostatically controlled loads (TCLs) to provide power pulses to the grid without a subsequent oscillatory response. Such pulses can alleviate power fluctuations by intermittent resources and maintain…

Dynamical Systems · Mathematics 2017-02-27 Nishant Mehta , Nikolai. A. Sinitsyn , Scott Backhaus , Bernard. C. Lesieutre

We consider team optimal control of decentralized systems with linear dynamics, quadratic costs, and arbitrary disturbance that consist of multiple sub-populations with exchangeable agents (i.e., exchanging two agents within the same…

Systems and Control · Computer Science 2018-09-19 Jalal Arabneydi , Aditya Mahajan

This paper investigates the random horizon optimal stopping problem for measure-valued piecewise deterministic Markov processes (PDMPs). This is motivated by population dynamics applications, when one wants to monitor some characteristics…

Probability · Mathematics 2018-09-14 Bertrand Cloez , Benoîte de Saporta , Maud Joubaud

In micro-assembly applications, ensemble of chiplets immersed in a dielectric fluid are steered using dielectrophoretic forces induced by an array of electrode population. Generalizing the finite population deterministic models proposed in…

Dynamical Systems · Mathematics 2023-05-17 Iman Nodozi , Abhishek Halder , Ion Matei

Power management in multi-server data centers~especially at scale is a vital issue of increasing importance in cloud computing paradigm. Existing studies mostly consider thresholds on the number of idle servers to switch the servers on or…

Performance · Computer Science 2023-07-20 Behzad Chitsaz , Ahmad Khonsari , Masoumeh Moradian , Aresh Dadlani , Mohammad Sadegh Talebi

In this paper we consider the optimal control of Hilbert space-valued infinite-dimensional Piecewise Deterministic Markov Processes (PDMP) and we prove that the corresponding value function can be represented via a Feynman-Kac type formula…

Optimization and Control · Mathematics 2019-06-07 Elena Bandini , Michele Thieullen

For nonlinear multi-agent systems with high relative degrees, achieving formation control and obstacle avoidance in a distributed manner remains a significant challenge. To address this issue, we propose a novel distributed safety-critical…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chao Wang , Shuyuan Zhang , Lei Wang

Mixed-Criticality (MC) systems have recently been devised to address the requirements of real-time systems in industrial applications, where the system runs tasks with different criticality levels on a single platform. In some workloads, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Behnaz Ranjbar , Ali Hosseinghorban , Mohammad Salehi , Alireza Ejlali , Akash Kumar

We extend Monte Carlo samplers based on piecewise deterministic Markov processes (PDMP samplers) by formally defining different boundary conditions such as sticky floors, soft and hard walls and teleportation portals. This allows PDMP…

Computation · Statistics 2023-03-15 Joris Bierkens , Sebastiano Grazzi , Gareth Roberts , Moritz Schauer

A novel centralized model predictive control (MPC) is proposed for comfort and energy management in a residential building. The residential setup used here is equipped with a photovoltaic (PV) solar system and a stationary home battery…

Systems and Control · Electrical Eng. & Systems 2019-12-17 Sayani Seal , Benoit Boulet , Vahid Raissi Dehkordi

The increasing presence of large-scale distributed systems highlights the need for scalable control strategies where only local communication is required. Moreover, in safety-critical systems it is imperative that such control strategies…

Optimization and Control · Mathematics 2022-03-16 Carmen Amo Alonso , Jing Shuang Li , James Anderson , Nikolai Matni

In this paper, we present an iterative Model Predictive Control (MPC) design for piecewise nonlinear systems. We consider finite time control tasks where the goal of the controller is to steer the system from a starting configuration to a…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Ugo Rosolia , Aaron D. Ames

Coordination of distributed agents is required for problems arising in many areas, including multi-robot systems, networking and e-commerce. As a formal framework for such problems, we use the decentralized partially observable Markov…

Artificial Intelligence · Computer Science 2014-01-16 Daniel S. Bernstein , Christopher Amato , Eric A. Hansen , Shlomo Zilberstein

Variance reduction methods are often needed for the reliability assessment of complex industrial systems, we focus on one variance reduction method in a given context, that is the interacting particle system method (IPS) used on piecewise…

Computation · Statistics 2019-07-24 H. Chraibi , A. Dutfoy , T. Galtier , J. Garnier

In this paper we study mean-field type control problems with risk-sensitive performance functionals. We establish a stochastic maximum principle (SMP) for optimal control of stochastic differential equations (SDEs) of mean-field type, in…

Optimization and Control · Mathematics 2014-04-08 Boualem Djehiche , Hamidou Tembine , Raul Tempone

This work presents a whole-year simulation study on nonlinear mixed-integer Model Predictive Control (MPC) for a complex thermal energy supply system which consists of a heat pump, stratified water storages, free cooling facilities, and a…

Optimization and Control · Mathematics 2019-05-23 Adrian Bürger , Markus Bohlayer , Sarah Hoffmann , Angelika Altmann-Dieses , Marco Braun , Moritz Diehl

Making the control of building heating systems more energy efficient is crucial for reducing global energy consumption and greenhouse gas emissions. Traditional rule-based control methods use a static, outdoor temperature-dependent heating…

Applications · Statistics 2025-10-17 Emma Hannula , Arttu Häkkinen , Antti Solonen , Felipe Uribe , Jana de Wiljes , Lassi Roininen
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