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This paper presents a novel approach to solving the indirect influence problem in networked systems, in which cooperative nodes must regulate a target node with uncertain dynamics to follow a desired trajectory. We leverage the…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Max L. Gardenswartz , Brandon C. Fallin , Cristian F. Nino , Warren E. Dixon

The modelling of linear quadratic Gaussian optimal control problems on large complex networks is intractable computationally. Graphon theory provides an approach to overcome these issues by defining limit objects for infinite sequences of…

Optimization and Control · Mathematics 2024-07-02 Alex Dunyak , Peter E. Caines

Development of optimal control procedures for congested networks is a key factor in maintaining efficient network utilization. The absence of congestion control mechanism or its failure can lead to the lack of availability for certain…

Networking and Internet Architecture · Computer Science 2018-10-11 Yuri Monakhov , Anna Kuznetsova

Optimization problems over dynamic networks have been extensively studied and widely used in the past decades to formulate numerous real-world problems. However, (1) traditional optimization-based approaches do not scale to large networks,…

Machine Learning · Computer Science 2023-05-17 Daniele Gammelli , James Harrison , Kaidi Yang , Marco Pavone , Filipe Rodrigues , Francisco C. Pereira

This paper addresses the behavior analysis problems for directed signed networks that involve cooperative-antagonistic interactions among agents. Of particular interest is to explore the convergence behaviors of directed signed networks…

Dynamical Systems · Mathematics 2020-06-22 Deyuan Meng , Mingjun Du , Jianqiang Liang

We consider optimal signalling and control of discrete-time nonlinear partially observable stochastic systems in state space form. In the first part of the paper, we characterize the operational {\it control-coding capacity}, $C_{FB}$ in…

Information Theory · Computer Science 2024-07-29 Charalambos D. Charalambous , Stelios Louka

This work aims to address the design of fully distributed control protocols for stochastic consensus, and, for the first time, establishes the existence and uniqueness of solutions for the path-dependent and highly nonlinear closed-loop…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Xuping Hou , Xiaofeng Zong , Yong He

Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

Molecular Networks · Quantitative Biology 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

We propose a neural network approach to model general interaction dynamics and an adjoint based stochastic gradient descent algorithm to calibrate its parameters. The parameter calibration problem is considered as optimal control problem…

Optimization and Control · Mathematics 2021-02-01 Simone Göttlich , Claudia Totzeck

This paper offers a finite-state abstraction of traffic coordination and congestion in a network of interconnected roads (NOIR). By applying mass conservation, we model traffic coordination as a Markov process. Model Predictive Control…

Systems and Control · Electrical Eng. & Systems 2021-01-21 Hossein Rastgoftar , Jean-Baptiste Jeannin

In this paper, we study the problem of unsupervised graph representation learning by harnessing the control properties of dynamical networks defined on graphs. Our approach introduces a novel framework for contrastive learning, a widely…

Machine Learning · Computer Science 2024-04-19 Obaid Ullah Ahmad , Anwar Said , Mudassir Shabbir , Waseem Abbas , Xenofon Koutsoukos

The following optimal stopping problem is considered. The vertices of a graph $G$ are revealed one by one, in a random order, to a selector. He aims to stop this process at a time $t$ that maximizes the expected number of connected…

Combinatorics · Mathematics 2021-10-05 Fabrício Siqueira Benevides , Małgorzata Sulkowska

We study the problem of secure message multicasting over graphs in the presence of a passive (node) adversary who tries to eavesdrop in the network. We show that use of feedback, facilitated through the existence of cycles or undirected…

Information Theory · Computer Science 2013-05-29 Shaunak Mishra , Christina Fragouli , Vinod Prabhakaran , Suhas Diggavi

We consider optimal control of decentralized LQG problems for plants controlled by two players having asymmetric information sharing patterns between them. In one scenario, players are assumed to have a bidirectional error-free, unlimited…

Optimization and Control · Mathematics 2016-12-01 Naumaan Nayyar , Dileep Kalathil , Rahul Jain

Dynamical systems comprised of autonomous agents arise in many relevant problems such as multi-agent robotics, smart grids, or smart cities. Controlling these systems is of paramount importance to guarantee a successful deployment. Optimal…

Machine Learning · Computer Science 2020-10-22 Fernando Gama , Ekaterina Tolstaya , Alejandro Ribeiro

In this letter, we consider the implementation problem of distributed graph filters, where each node only has access to the signals of the current and its neighboring nodes. By using Gaussian elimination, we show that as long as the graph…

Signal Processing · Electrical Eng. & Systems 2019-09-12 Samuel Cheng

In this paper we introduce the optimal control of a kinetic model describing agents who migrate on a graph and interact within its nodes exchanging a physical quantity. As a prototype model, we consider the spread of an infectious disease…

Optimization and Control · Mathematics 2026-01-15 Jonathan Franceschi , Nadia Loy

This paper discusses the graph covering problem in which a set of edges in an edge- and node-weighted graph is chosen to satisfy some covering constraints while minimizing the sum of the weights. In this problem, because of the large…

Data Structures and Algorithms · Computer Science 2014-04-17 Takuro Fukunaga

This study investigates the infinite-horizon optimal control problem for switched Boolean control networks with an average-cost criterion. A primary challenge of this problem is the prohibitively high computational cost when dealing with…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Shuhua Gao , Changkai Sun , Cheng Xiang , Kairong Qin , Tong Heng Lee