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Related papers: Controllability of complex networks: input node pl…

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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

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

Composite systems are large complex systems con- sisting of interconnected agents (subsystems). Agents in a com- posite system interact with each other towards performing an in- tended goal. Controllability is essential to achieve desired…

Optimization and Control · Mathematics 2018-10-18 Shana Moothedath , Prasanna Chaporkar , Aishwary Joshi

In this paper, we address the finite time synchronization of a network of dynamical systems with time-varying interactions modeled using temporal networks. We synchronize a few nodes initially using external control inputs. These nodes are…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Aandrew Baggio S , Rachel Kalpana Kalaimani

This paper looks at two problems, minimum constrained input selection and minimum cost constrained input selection for state space structured systems. The input matrix is constrained in the sense that the set of states that each input can…

Optimization and Control · Mathematics 2017-05-04 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network…

Physics and Society · Physics 2013-01-16 Márton Pósfai , Yang-Yu Liu , Jean-Jacques Slotine , Albert-László Barabási

Controllability, a basic property of various networked systems, has gained profound theoretical applications in complex social, technological, biological, and brain networks. Yet, little attention has been given to the control trajectory…

Optimization and Control · Mathematics 2018-06-13 Aming Li , Long Wang , Frank Schweitzer

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

Controlling a complex network is of great importance in many applications. The network can be controlled by inputting external control signals through some selected nodes, which are called input nodes. Previous works found that the majority…

Social and Information Networks · Computer Science 2019-10-23 Xizhe Zhang , Qian Li

Strong structural controllability (SSC) guarantees networked system with linear-invariant dynamics controllable for all numerical realizations of parameters. Current research has established algebraic and graph-theoretic conditions of SSC…

Machine Learning · Computer Science 2024-02-28 Mengbang Zou , Weisi Guo , Bailu Jin

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

This paper studies the controllability backbone problem in dynamical networks defined over graphs. The main idea of the controllability backbone is to identify a small subset of edges in a given network such that any subnetwork containing…

Systems and Control · Electrical Eng. & Systems 2023-09-07 Obaid Ullah Ahmad , Waseem Abbas , Mudassir Shabbir

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

The considered optimal control problem of a stochastic power system, is to select the set of power supply vectors which infimizes the probability that the phase-angle differences of any power flow of the network, endangers the transient…

Optimization and Control · Mathematics 2024-01-31 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

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

In this paper, we demonstrate a conflicting relationship between two crucial properties---controllability and robustness---in linear dynamical networks of diffusively coupled agents. In particular, for any given number of nodes $N$ and…

Systems and Control · Computer Science 2020-07-15 Waseem Abbas , Mudassir Shabbir , A. Yasin Yazicioglu , Aqsa Akber

Many important complex networks, including critical infrastructure and emerging industrial automation systems, are becoming increasingly intricate webs of interacting feedback control loops. A fundamental concern is to quantify the control…

Optimization and Control · Mathematics 2017-07-17 Tyler Summers , Justin Ruths

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

The collection of all the strongly connected components in a directed graph, among each cluster of which any node has a path to another node, is a typical example of the intertwining structure and dynamics in complex networks, as its…

Physics and Society · Physics 2016-05-31 Jin-Hua Zhao , Hai-Jun Zhou

Given a conjunctive Boolean network (CBN) with $n$ state-variables, we consider the problem of finding a minimal set of state-variables to directly affect with an input so that the resulting conjunctive Boolean control network (CBCN) is…

Data Structures and Algorithms · Computer Science 2020-06-09 Eyal Weiss , Michael Margaliot , Guy Even