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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

In recent years, we have observed a significant trend towards filling the gap between social network analysis and control. This trend was enabled by the introduction of new mathematical models describing dynamics of social groups, the…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Roberto Tempo

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

Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173,…

Physics and Society · Physics 2015-05-28 Noah J. Cowan , Erick J. Chastain , Daril A. Vilhena , James S. Freudenberg , Carl T. Bergstrom

Notwithstanding the usefulness of system dynamics in analyzing complex policy problems, policy design is far from straightforward and in many instances trial-and-error driven. To address this challenge, we propose to combine system dynamics…

Physics and Society · Physics 2017-11-15 Lukas Schoenenberger , Radu Tanase

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

Biological Physics · Physics 2015-05-13 Sitabhra Sinha

The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast…

Physics and Society · Physics 2016-02-17 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

In spite of the recent interest and advances in linear controllability of complex networks, controlling nonlinear network dynamics remains to be an outstanding problem. We develop an experimentally feasible control framework for nonlinear…

Molecular Networks · Quantitative Biology 2015-09-24 Le-Zhi Wang , Ri-Qi Su , Zi-Gang Huang , Xiao Wang , Wenxu Wang , Celso Grebogi , Ying-Cheng Lai

Symmetries are an essential feature of complex networks as they regulate how the graph collective dynamics organizes into clustered states. We here show how to control network symmetries, and how to enforce patterned states of…

Physics and Society · Physics 2020-11-24 L. V. Gambuzza , M. Frasca , F. Sorrentino , L. M. Pecora , S. Boccaletti

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

Physics and Society · Physics 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

Observability and controllability are essential concepts to the design of predictive observer models and feedback controllers of networked systems. For example, noncontrollable mathematical models of real systems have subspaces that…

Neurons and Cognition · Quantitative Biology 2018-04-18 Andrew J. Whalen , Sean N. Brennan , Timothy D. Sauer , Steven J. Schiff

Over the past decades, network systems have surged in significance, driven by merging technological advancements. These systems play pivotal roles in diverse applications ranging from autonomous driving to smart grids, yet they confront…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Gang Wang , Wenjie Liu , Yifei Li , Xin Wang , Jian Sun , Jie Chen

Multidimensional systems coupled via complex networks are widespread in nature and thus frequently invoked for a large plethora of interesting applications. From ecology to physics, individual entities in mutual interactions are grouped in…

Physics and Society · Physics 2018-11-21 Giulia Cencetti , Franco Bagnoli , Giorgio Battistelli , Luigi Chisci , Duccio Fanelli

Network theory has unveiled the underlying structure of complex systems such as the Internet or the biological networks in the cell. It has identified universal properties of complex networks, and the interplay between their structure and…

Physics and Society · Physics 2015-09-21 Ginestra Bianconi

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

Systems and Control · Computer Science 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

In this paper we propose a novel control approach for opinion dynamics on evolving networks. The controls modify the strength of connections in the network, rather than influencing opinions directly, with the overall goal of steering the…

Physics and Society · Physics 2024-04-16 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

This paper addresses the problem of controlling the temporal dynamics of complex nonlinear network-coupled dynamical systems, specifically in terms of neurodynamics. Based on the Lyapunov direct method, we derive a control strategy with…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Zhongye Xia , Weibin Li , Zhichao Liang , Kexin Lou , Quanying Liu

We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Sorrentino , Mario di Bernardo , Franco Garofalo , Guanrong Chen

This paper studies the controllability of networked multi-input-multi-output (MIMO) systems, in which the network topology is weighted and directed, and the nodes are heterogeneous higher-dimensional linear time-invariant (LTI) dynamical…

Optimization and Control · Mathematics 2020-06-23 Linying Xiang , Peiru Wang , Fei Chen , Guanrong Chen