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We introduce the concept of control centrality to quantify the ability of a single node to control a directed weighted network. We calculate the distribution of control centrality for several real networks and find that it is mainly…

Physics and Society · Physics 2013-01-01 Yang-Yu Liu , Jean-Jacques Slotine , Albert-László Barabási

We investigate to what extent the degree sequence of a directed network constrains the number of driver nodes. We develop a pair of algorithms that take a directed degree sequence as input and aim to output a network with the maximum or…

Physics and Society · Physics 2020-03-24 Abdorasoul Ghasemi , Márton Pósfai , Raissa M. D'Souza

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

This paper studies the problem of controlling complex networks, that is, the joint problem of selecting a set of control nodes and of designing a control input to steer a network to a target state. For this problem (i) we propose a metric…

Systems and Control · Computer Science 2014-03-04 Fabio Pasqualetti , Sandro Zampieri , Francesco Bullo

Many complex networks are described by directed links; in such networks, a link represents, for example, the control of one node over the other node or unidirectional information flows. Some centrality measures are used to determine the…

Physics and Society · Physics 2009-10-24 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

Physics and Society · Physics 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

Controlling a complex network towards a desire state is of great importance in many applications. Existing works present an approximate algorithm to find the driver nodes used to control partial nodes of the network. However, the driver…

Physics and Society · Physics 2017-07-05 Xizhe Zhang , Huaizhen Wang , Tianyang Lv

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

Physics and Society · Physics 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

Liu et al recently proposed a minimum number of driver nodes needed to obtain full structural controllability over a directed network. Driver nodes are unmatched nodes, from which there are directed paths to all matched nodes. Their most…

Physics and Society · Physics 2012-09-18 Soumya Jyoti Banerjee , Soumen Roy

The problem of controllability of the dynamical state of a network is central in network theory and has wide applications ranging from network medicine to financial markets. The driver nodes of the network are the nodes that can bring the…

Statistical Mechanics · Physics 2015-06-19 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

Our ability to control complex systems is a fundamental challenge of contemporary science. Recently introduced tools to identify the driver nodes, nodes through which we can achieve full control, predict the existence of multiple control…

Finding a small subset of influential nodes to maximise influence spread in a complex network is an active area of research. Different methods have been proposed in the past to identify a set of seed nodes that can help achieve a faster…

Social and Information Networks · Computer Science 2022-12-23 Abida Sadaf , Luke Mathieson , Piotr Bródka , Katarzyna Musial

Finding the important nodes in complex networks by topological structure is of great significance to network invulnerability. Several centrality measures have been proposed recently to evaluate the performance of nodes based on their…

Social and Information Networks · Computer Science 2021-02-23 Pengli Lu , Chen Dong , Yuhong Guo

The minimum number of inputs needed to control a network is frequently used to quantify its controllability. Control of linear dynamics through a minimum set of inputs, however, often has prohibitively large energy requirements and there is…

Computational Engineering, Finance, and Science · Computer Science 2022-12-12 Samie Alizadeh , Márton Pósfai , Abdorasoul Ghasemi

Real-world network systems are inherently dynamic, with network topologies undergoing continuous changes over time. Previous works often focus on static networks or rely on complete prior knowledge of evolving topologies, whereas real-world…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang

The control of dynamical, networked systems continues to receive much attention across the engineering and scientific research fields. Of particular interest is the proper way to determine which nodes of the network should receive external…

Systems and Control · Computer Science 2018-08-24 Isaac Klickstein , Francesco Sorrentino

The problem of controlling complex networks is of interest to disciplines ranging from biology to swarm robotics. However, controllability can be too strict a condition, failing to capture a range of desirable behaviors. Herdability, which…

Systems and Control · Computer Science 2018-05-01 Sebastian F. Ruf , Magnus Egersted , Jeff S. Shamma

Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially…

Physics and Society · Physics 2013-10-23 Zhengzhong Yuan , Chen Zhao , Zengru Di , Wen-Xu Wang , Ying-Cheng Lai

Complex systems and relational data are often abstracted as dynamical processes on networks. To understand, predict and control their behavior, a crucial step is to extract reduced descriptions of such networks. Inspired by notions from…

Social and Information Networks · Computer Science 2019-06-26 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

Observing and controlling complex networks are of paramount interest for understanding complex physical, biological and technological systems. Recent studies have made important advances in identifying sensor or driver nodes, through which…

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