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In this two-part paper, we identify a broad class of decentralized output-feedback LQG systems for which the optimal control strategies have a simple intuitive estimation structure and can be computed efficiently. Roughly, we consider the…

Systems and Control · Computer Science 2014-08-13 Ashutosh Nayyar , Laurent Lessard

We introduce a spatial economic growth model where space is described as a network of interconnected geographic locations and we study a corresponding finite-dimensional optimal control problem on a graph with state constraints. Economic…

Recently it has been shown that the control energy required to control a dynamical complex network is prohibitively large when there are only a few control inputs. Most methods to reduce the control energy have focused on where, in the…

Systems and Control · Computer Science 2017-05-24 Isaac S. Klickstein , Afroza Shirin , Francesco Sorrentino

In this paper we show how to formulate and solve disturbance decoupling problems over networks while choosing a minimal number of input and output nodes. Feedback laws that isolate and eliminate the impact of disturbance nodes on specific…

Optimization and Control · Mathematics 2026-03-17 Luca Claude Gino Lebon , Claudio Altafini

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. While techniques have been proposed for selecting input nodes based on…

Optimization and Control · Mathematics 2014-12-15 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

This thesis is concerned with distributed control and coordination of networks consisting of multiple, potentially mobile, agents. This is motivated mainly by the emergence of large scale networks characterized by the lack of centralized…

Optimization and Control · Mathematics 2010-10-01 Alex Olshevsky

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

This paper investigates a pattern formation control problem for a multi-agent system modeled with given interaction topology, in which $m$ of the $n$ agents are chosen as leaders and consequently a control signal is added to each of the…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Tianhao Li , Yibei Li , Zhixin Liu , Xiaoming Hu

In this paper, we consider the following problem: given a connected graph $G$, can we reduce the domination number of $G$ by one by using only one edge contraction? We show that the problem is $\mathsf{NP}$-hard when restricted to…

Discrete Mathematics · Computer Science 2019-08-06 Esther Galby , Paloma T. Lima , Bernard Ries

We consider, on a temporal star graph, the problem of optimal damping a control system is considered for a generalized pantograph equation, which is a neutral-type equation with a time-proportional delay. The delay in the system propagates…

Optimization and Control · Mathematics 2025-10-07 Alexsandr Lednov

Admission control can be employed to avoid congestion in queueing networks subject to overload. In distributed networks the admission decisions are often based on imperfect measurements on the network state. This paper studies how the lack…

Probability · Mathematics 2007-08-22 Lasse Leskelä

In this paper, we consider the distributed optimal control problem for discrete-time linear networked systems. In particular, we are interested in learning distributed optimal controllers using graph recurrent neural networks (GRNNs). Most…

Systems and Control · Electrical Eng. & Systems 2025-07-23 Zihao Song , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

In this paper, we design an optimal energy cost controller for linear systems asymptotic consensus given the topology of the graph. The controller depends only on relative information of the agents. Since finding the control gain for such…

Optimization and Control · Mathematics 2017-10-26 Han Zhang , Xiaoming Hu

This paper presents several conditions to determine strong sign controllability for diffusively-coupled undirected networks. The strong sign controllability is determined by the sign patterns (positive, negative, zero) of the edges. We…

Systems and Control · Electrical Eng. & Systems 2022-05-12 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

We study an optimal control problem aimed at achieving a desired tradeoff between the network coherence and communication requirements in the distributed controller. Our objective is to add a certain number of edges to an undirected…

Optimization and Control · Mathematics 2018-11-26 Sepideh Hassan-Moghaddam , Mihailo R. Jovanović

In network tomography, one goal is to identify a small set of failed links in a network, by sending a few packets through the network and seeing which reach their destination. This problem can be seen as a variant of combinatorial group…

Information Theory · Computer Science 2018-09-12 Bruce Spang , Mary Wootters

In this paper, we develop a notion of controllability for hypergraphs via tensor algebra and polynomial control theory. Inspired by uniform hypergraphs, we propose a new tensor-based multilinear dynamical system representation, and derive a…

Optimization and Control · Mathematics 2021-03-25 Can Chen , Amit Surana , Anthony Bloch , Indika Rajapakse

Recent experimental studies have shown that traffic management systems are vulnerable to cyber-attacks on sensor data. This paper studies the vulnerability of fixed-time control of signalized intersections when sensors measuring traffic…

Systems and Control · Computer Science 2017-02-10 Amin Ghafouri , Waseem Abbas , Yevgeniy Vorobeychik , Xenofon Koutsoukos

Controllability of complex networks arises in many technological problems involving social, financial, road, communication, and smart grid networks. In many practical situations, the underlying topology might change randomly with time, due…

Systems and Control · Computer Science 2020-01-08 Fernando Gama , Elvin Isufi , Alejandro Ribeiro , Geert Leus

We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switches. The switching patterns may be subject to combinatorial…

Optimization and Control · Mathematics 2024-04-04 Christoph Buchheim , Alexandra Grütering , Christian Meyer
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