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Optimal control for switch-based dynamical systems is a challenging problem in the process control literature. In this study, we model these systems as hybrid dynamical systems with finite number of unknown switching points and reformulate…

Optimization and Control · Mathematics 2025-05-28 Saif R. Kazi , Kexin Wang , Lorenz T. Biegler

The growing integration of renewable energy sources into distribution networks poses significant challenges to frequency and voltage stability due to their intermittent nature and low-inertia dynamics. This paper proposes a multilevel…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Xian Wu , Jan H. van Schuppen , Hai Xiang Lin

We consider the framework of convex high dimensional stochastic control problems, in which the controls are aggregated in the cost function. As first contribution, we introduce a modified problem, whose optimal control is under some…

Optimization and Control · Mathematics 2023-04-28 Adrien Séguret , Clémence Alasseur , J. Frédéric Bonnans , Antonio De Paola , Nadia Oudjane , Vincenzo Trovato

We study the linear quadratic Gaussian (LQG) control problem, in which the controller's observation of the system state is such that a desired cost is unattainable. To achieve the desired LQG cost, we introduce a communication link from the…

Optimization and Control · Mathematics 2021-09-28 Oron Sabag , Peida Tian , Victoria Kostina , Babak Hassibi

We study distributed optimization in a cooperative multi-agent setting, where agents have to agree on the usage of shared resources and can communicate via a time-varying network to this purpose. Each agent has its own decision variables…

Optimization and Control · Mathematics 2017-04-20 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

In this paper, we investigate the distributed optimal control problem for a kind of nonlinear multi-agent systems. In particular,both the state and the system dynamic structures of each agent are private and can only be shared among…

Optimization and Control · Mathematics 2026-04-08 Ruixue Li , Wenjing Yang , Zhaorong Zhang , Xun Li , Juanjuan Xu

This paper seeks to establish a framework for directing a society of simple, specialized, self-interested agents to solve what traditionally are posed as monolithic single-agent sequential decision problems. What makes it challenging to use…

Machine Learning · Computer Science 2020-08-17 Michael Chang , Sidhant Kaushik , S. Matthew Weinberg , Thomas L. Griffiths , Sergey Levine

In a data center network, for example, it is quite often to use controllers to manage resources in a centralized man- ner. Centralized control, however, imposes a scalability problem. In this paper, we investigate the use of multiple…

Networking and Internet Architecture · Computer Science 2011-07-26 Adrian S. -W. Tam , Kang Xi , H. Jonathan Chao

Classic distributed control problems have an interesting dichotomy: they are either trivial or undecidable. If we allow the controllers to fully synchronize, then synthesis is trivial. In this case, controllers can effectively act as a…

Logic in Computer Science · Computer Science 2011-11-15 Doron Peled , Sven Schewe

In this paper we consider a general, challenging distributed optimization set-up arising in several important network control applications. Agents of a network want to minimize the sum of local cost functions, each one depending on a local…

Systems and Control · Computer Science 2018-06-15 Ivano Notarnicola , Giuseppe Notarstefano

This paper explores the decentralized control of linear deterministic systems in which different controllers operate based on distinct state information, and extends the findings to the output feedback scenario. Assuming the controllers…

Optimization and Control · Mathematics 2024-09-09 Hongdan Li , Yawen Sun , Huanshui Zhang

Event-triggered and self-triggered control have recently been proposed as implementation strategies that considerably reduce the resources required for control. Although most of the work so far has focused on closing a single control loop,…

Optimization and Control · Mathematics 2011-09-05 Romain Postoyan , Paulo Tabuada , Dragan Nesic , Adolfo Anta

We present a memory-bounded optimization approach for solving infinite-horizon decentralized POMDPs. Policies for each agent are represented by stochastic finite state controllers. We formulate the problem of optimizing these policies as a…

Artificial Intelligence · Computer Science 2012-06-26 Christopher Amato , Daniel S Bernstein , Shlomo Zilberstein

This research investigates decentralized control of mobile robots specifically for coverage problems. There are different approaches associated with decentralized control strategy for coverage control problems. We perform a comparative…

Robotics · Computer Science 2016-09-30 Waqqas Ahmad

In this paper, a novel distributed control strategy addressing a (feasible) psycho-social-physical welfare problem in islanded Direct Current (DC) smart grids is proposed. Firstly, we formulate a (convex) optimization problem that allows…

Many realistic decision-making problems in networked scenarios, such as formation control and collaborative task offloading, often involve complicatedly entangled local decisions, which, however, have not been sufficiently investigated yet.…

Optimization and Control · Mathematics 2025-11-20 Dandan Wang , Xuyang Wu , Zichong Ou , Jie Lu

We consider the problem of reserving link capacity in a network in such a way that any of a given set of flow scenarios can be supported. In the optimal capacity reservation problem, we choose the reserved link capacities to minimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-03 Nicholas Moehle , Xinyue Shen , Zhi-Quan Luo , Stephen Boyd

This paper develops a novel approach to the consensus problem of multi-agent systems by minimizing a weighted state error with neighbor agents via linear quadratic (LQ) optimal control theory. Existing consensus control algorithms only…

Optimization and Control · Mathematics 2024-03-19 Liping Zhang , Juanjuan Xu , Huanshui Zhang , Lihua Xie

Many multi-agent systems in practice are decentralized and have dynamically varying dependencies. There has been a lack of attempts in the literature to analyze these systems theoretically. In this paper, we propose and theoretically…

Machine Learning · Computer Science 2024-06-12 Alex DeWeese , Guannan Qu

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