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In this paper, structural controllability of a leader-follower multi-agent system with multiple leaders is studied from a graph-theoretic point of view. The problem of preservation of structural controllability under simultaneous failures…

Systems and Control · Computer Science 2016-12-01 M. Amin Rahimian , Amir G. Aghdam

Temporal networks are such networks where nodes and interactions may appear and disappear at various time scales. With the evidence of ubiquity of temporal networks in our economy, nature and society, it's urgent and significant to focus on…

Social and Information Networks · Computer Science 2014-01-15 Yujian Pan , Xiang Li

Sun et al. provided an insightful comment arXiv:1108.5739v1 on our manuscript entitled "Controllability of Complex Networks with Nonlinear Dynamics" on arXiv. We agree on their main point that linearization about locally desired states can…

Disordered Systems and Neural Networks · Physics 2011-11-04 Wen-Xu Wang , Ying-Cheng Lai , Jie Ren , Baowen Li , Celso Grebogi

In this work, we consider the controllability of a discrete-time linear dynamical system with sparse control inputs. Sparsity constraints on the input arises naturally in networked systems, where activating each input variable adds to the…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Geethu Joseph , Chandra R. Murthy

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

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

Static structured control refers to the task of designing a state-feedback controller such that the control gain satisfies a subspace constraint. Structured control has applications in control of communication-inhibited dynamical systems,…

Optimization and Control · Mathematics 2024-11-19 Jared Miller , Jaap Eising , Florian Dörfler , Roy S. Smith

Background: A therapeutic intervention in psychiatry can be viewed as an attempt to influence the brain's large-scale, dynamic network state transitions underlying cognition and behavior. Building on connectome-based graph analysis and…

This paper explores the structural controllability of switched linear continuous-time systems. It first identifies a gap in the proof for a pivotal criterion for the structural controllability of switched linear systems in the literature.…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Yuan Zhang , Yuanqing Xia , Aming Li

This paper is concerned with the controllability problem of a connected threshold graph following the Laplacian dynamics. An algorithm is proposed to generate a spanning set of orthogonal Laplacian eigenvectors of the graph from a…

Optimization and Control · Mathematics 2018-06-14 Shun-Pin Hsu

There has been tremendous development of linear controllability of complex networks. Real-world systems are fundamentally nonlinear. Is linear controllability relevant to nonlinear dynamical networks? We identify a common trait underlying…

Dynamical Systems · Mathematics 2019-09-11 Junjie Jiang , Ying-Cheng Lai

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

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

From the perspective of network analysis, the ubiquitous networks are comprised of regular and irregular components, which makes uncovering the complexity of network structures to be a fundamental challenge. Exploring the regular…

Social and Information Networks · Computer Science 2018-08-30 Tao Wu , Shaojie Qiao , Xingping Xian , Xi-Zhao Wang , Wei Wang , Yanbing Liu

In this paper, the target controllability of multiagent systems under directed weighted topology is studied. A graph partition is constructed, in which part of the nodes are divided into different cells, which are selected as leaders. The…

Systems and Control · Electrical Eng. & Systems 2023-02-13 Yanan Ji , Zhijian Ji , Yungang Liu , Chong Lin

Learning, say through direct policy updates, often requires assumptions such as knowing a priori that the initial policy (gain) is stabilizing, or persistently exciting (PE) input-output data, is available. In this paper, we examine online…

Systems and Control · Electrical Eng. & Systems 2022-01-21 Shahriar Talebi , Siavash Alemzadeh , Niyousha Rahimi , Mehran Mesbahi

We address the problem of identifying the topology of an unknown weighted, directed network of LTI systems stimulated by wide-sense stationary noises of unknown power spectral densities. We propose several reconstruction algorithms based on…

Systems and Control · Computer Science 2013-08-13 Shahin Shahrampour , Victor M. Preciado

This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of…

Optimization and Control · Mathematics 2016-06-13 Sergio Pequito , George J. Pappas

This paper proposes a novel notion for structural controllability under structured numerical perturbations, namely the perturbation-tolerant structural controllability (PTSC), on a single-input structured system whose entries can be…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Yuan Zhang , Yuanqing Xia

A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of measuring all the variables spanning the state space. Therefore,…

Chaotic Dynamics · Physics 2019-07-25 Irene Sendiña-Nadal , Christophe Letellier