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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

This letter deals with the controllability issue of complex networks. An index is chosen to quantitatively measure the extent of controllability of given network. The effect of this index is analyzed based on empirical studies on various…

Systems and Control · Computer Science 2017-03-08 Ning Cai

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

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

Pinning control on complex dynamical networks has emerged as a very important topic in recent trends of control theory due to the extensive study of collective coupled behaviors and their role in physics, engineering and biology. In…

Optimization and Control · Mathematics 2016-01-25 Stephane Chretien , Sebastien Darses

Families of regimes for discrete control systems are studied possessing a special quasi-controllability property that is similar to the Kalman controllability property. A new approach is proposed to estimate the amplitudes of transient…

Optimization and Control · Mathematics 2009-09-25 V. Kozyakin , N. Kuznetsov , A. Pokrovskii

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

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

We study the dynamics of systems on networks from a linear algebraic perspective. The control theoretic concept of controllability describes the set of states that can be reached for these systems. Under appropriate conditions, there is a…

Quantum Physics · Physics 2013-09-10 Daniel Burgarth , Domenico D'Alessandro , Leslie Hogben , Simone Severini , Michael Young

In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the…

Optimization and Control · Mathematics 2021-01-14 Yassine El Gantouh , Said Hadd

The outstanding problem of controlling complex networks is relevant to many areas of science and engineering, and has the potential to generate technological breakthroughs as well. We address the physically important issue of the energy…

Physics and Society · Physics 2012-05-30 Gang Yan , Jie Ren , Ying-Cheng Lai , Choy-Heng Lai , Baowen Li

Control of nonlinear large-scale dynamical networks, e.g., collective behavior of agents interacting via a scale-free connection topology, is a central problem in many scientific and engineering fields. For the linear version of this…

Optimization and Control · Mathematics 2016-06-07 Kenji Kashima

An increasing number of complex systems are now modeled as networks of coupled dynamical entities. Nonlinearity and high-dimensionality are hallmarks of the dynamics of such networks but have generally been regarded as obstacles to control.…

Disordered Systems and Neural Networks · Physics 2015-12-07 Adilson E. Motter

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

This paper aims at the study of controllability properties and induced controllability metrics on complex networks governed by a class of (discrete time) linear decision processes with mul-tiplicative noise. The dynamics are given by a…

Optimization and Control · Mathematics 2016-12-15 Tidiane Diallo , Dan Goreac

The interaction of distinct units in physical, social, biological and technological systems naturally gives rise to complex network structures. Networks have constantly been in the focus of research for the last decade, with considerable…

Physics and Society · Physics 2012-08-20 Tamás Nepusz , Tamás Vicsek

To achieve control objectives for extremely large-scale complex networks using standard methods is essentially intractable. In this work a theory of the approximate control of complex network systems is proposed and developed by the use of…

Optimization and Control · Mathematics 2020-10-28 Shuang Gao , Peter E. Caines

Families of regimes for discrete control systems are studied possessing a special quasi-controllability property that is similar to the Kalman controllability property. A new approach is proposed to estimate the amplitudes of transient…

Dynamical Systems · Mathematics 2009-08-31 V. Kozyakin , A. Pokrovskii

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…

A closed quantum system is defined as completely controllable if an arbitrary unitary transformation can be executed using the available controls. In practice, control fields are a source of unavoidable noise, which has to be suppressed to…

Quantum Physics · Physics 2015-06-17 S. Kallush , M. Khasin , R. Kosloff
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