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Related papers: Controlling network ensembles

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We propose a general framework for studying optimal impulse control problem in the presence of uncertainty on the parameters. Given a prior on the distribution of the unknown parameters, we explain how it should evolve according to the…

Probability · Mathematics 2017-12-06 N. Baradel , B. Bouchard , Ngoc Minh Dang

The ability to control network dynamics is essential for ensuring desirable functionality of many technological, biological, and social systems. Such systems often consist of a large number of network elements, and controlling large-scale…

Systems and Control · Electrical Eng. & Systems 2022-08-15 Chao Duan , Takashi Nishikawa , Adilson E. Motter

The reliable and precise generation of quantum unitary transformations is essential to the realization of a number of fundamental objectives, such as quantum control and quantum information processing. Prior work has explored the optimal…

Quantum Physics · Physics 2010-07-21 Michael Hsieh , Rebing Wu , Herschel Rabitz , Daniel Lidar

In this Letter we propose a method to control a set of arbitrary nodes in a directed network such that they follow a synchronous trajectory which is, in general, not shared by the other units of the network. The problem is inspired to those…

Chaotic Dynamics · Physics 2021-01-19 Bruno Ursino , Lucia Valentina Gambuzza , Vito Latora , Mattia Frasca

The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of…

Optimization and Control · Mathematics 2016-11-15 Fabrizio L. Cortesi , Tyler H. Summers , John Lygeros

Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for…

Optimization and Control · Mathematics 2023-03-10 Stefano Almi , Marco Morandotti , Francesco Solombrino

We propose in this paper an optimal control framework for renewable energy communities (RECs) equipped with controllable assets. Such RECs allow its members to exchange production surplus through an internal market. The objective is to…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Samy Aittahar , Adrien Bolland , Guillaume Derval , Damien Ernst

This paper deals with controllability of dynamical networks. It is often unfeasible or unnecessary to fully control large-scale networks, which motivates the control of a prescribed subset of agents of the network. This specific form of…

Optimization and Control · Mathematics 2016-08-09 Henk J. van Waarde , M. Kanat Camlibel , Harry L. Trentelman

This paper is concerned with the distributed linear quadratic optimal control problem. In particular, we consider a suboptimal version of the distributed optimal control problem for undirected multi-agent networks. Given a multi-agent…

Optimization and Control · Mathematics 2018-03-08 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

We present a method for finding optimal controllers for unknown, time-varying, dynamic systems which can be re-initialized from a given initial condition repeatedly, in which the performance measure is available for sampling with noise, but…

Optimization and Control · Mathematics 2018-08-16 Alexander Scheinker , David Scheinker

In this paper, we study controllability of a network of linear single-integrator agents when the network size goes to infinity. We first investigate the effect of increasing size by injecting an input at every node and requiring that…

Systems and Control · Computer Science 2016-11-17 Chinwendu Enyioha , Mohammad Amin Rahimian , George J. Pappas , Ali Jadbabaie

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

Networking and Internet Architecture · Computer Science 2007-09-18 Yufang Xi , Edmund M. Yeh

We study networks with linear dynamics where the presence of symmetries of the pair (A,B) induces a partition of the network nodes in clusters and the matrix A is not restricted to be in Laplacian form. For these networks, an invariant…

Optimization and Control · Mathematics 2020-10-23 Francesco Lo Iudice , Anna Di Meglio , Fabio Della Rossa , Francesco Sorrentino

Recent control trends are increasingly relying on communication networks and wireless channels to close the loop for Internet-of-Things applications. Traditionally these approaches are model-based, i.e., assuming a network or channel model…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Konstantinos Gatsis , George J. Pappas

This chapter provides a comprehensive and self-contained discussion of the most recent developments of information theory of networks. Maximum entropy models of networks are the least biased ensembles enforcing a set of constraints and are…

Disordered Systems and Neural Networks · Physics 2022-06-14 Ginestra Bianconi

We study a class of deterministic mean field games and related optimal control problems, with a finite time horizon and in which the state space is a network. An agent controls her velocity, and, when she occupies a vertex, she can either…

Optimization and Control · Mathematics 2025-11-25 Yves Achdou , Claudio Marchi , Nicoletta Tchou

We examine optimal regulation of financial networks with debt interdependencies between financial firms. We first show that firms often have an incentive to choose excessively risky portfolios and overly correlate their portfolios with…

General Economics · Economics 2025-10-07 Matthew O. Jackson , Agathe Pernoud

We apply optimal control techniques to an inhomogeneous spin ensemble coupled to a cavity. A general procedure is proposed for designing the control strategies. We numerically show the extent to which optimal control fields robust against…

Quantum Physics · Physics 2018-09-12 Q. Ansel , S. Probst , P. Bertet , S. J. Glaser , D. Sugny

This letter examines the controllability of consensus dynamics on matrix-weighed networks from a graph-theoretic perspective. Unlike the scalar-weighted networks, the rank of weight matrix introduces additional intricacies into…

Systems and Control · Electrical Eng. & Systems 2020-01-14 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

This paper considers distribution systems with a high penetration of distributed, renewable generation and addresses the problem of incorporating the associated uncertainty into the optimal operation of these networks. Joint chance…

Optimization and Control · Mathematics 2019-03-07 Kyri Baker , Andrey Bernstein