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This paper studies the problem of designing networks that are strong structurally controllable, and robust simultaneously. For given network specifications, including the number of nodes $N$, the number of leaders $N_L$, and diameter $D$,…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Priyanshkumar I. Patel , Johir Suresh , Waseem Abbas

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

We study the strong structural controllability (SSC) of diffusively coupled networks, where the external control inputs are injected to only some nodes, namely the leaders. For such systems, one measure of controllability is the dimension…

Systems and Control · Electrical Eng. & Systems 2020-08-18 Yasin Yazicioglu , Mudassir Shabbir , Waseem Abbas , Xenofon Koutsoukos

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

This paper investigates the robustness of strong structural controllability for linear time-invariant and linear time-varying directed networks with respect to structural perturbations, including edge deletions and additions. In this…

Dynamical Systems · Mathematics 2020-05-26 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

This paper deals with structural controllability of leader-follower networks. The system matrix defining the network dynamics is a pattern matrix in which a priori given entries are equal to zero, while the remaining entries take nonzero…

Optimization and Control · Mathematics 2018-10-16 Jiajia Jia , Harry L. Trentelman , Wouter Baar , Kanat M. Camlibel

In this paper, controllability of systems defined on graphs is discussed. We consider the problem of controllability of the network for a family of matrices carrying the structure of an underlying directed graph. A one-to-one correspondence…

Systems and Control · Computer Science 2014-03-20 Nima Monshizadeh , Shuo Zhang , Kanat Camlibel

A leak is a vertex that is not allowed to perform a force during the zero forcing process. Leaky forcing was recently introduced as a new variation of zero forcing in order to analyze how leaks in a network disrupt the zero forcing process.…

Combinatorics · Mathematics 2020-08-18 Joseph S. Alameda , Jürgen Kritschgau , Nathan Warnberg , Michael Young

Network controllability robustness reflects how well a networked dynamical system can maintain its controllability against destructive attacks. This paper investigates the network controllability robustness from the perspective of a…

Physics and Society · Physics 2021-03-09 Yang Lou , Lin Wang , Guanrong Chen

A networked system can be made resilient against adversaries and attacks if the underlying network graph is structurally robust. For instance, to achieve distributed consensus in the presence of adversaries, the underlying network graph…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Faiq Ghawash , Waseem Abbas

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

This paper presents new results and reinterpretation of existing conditions for strong structural controllability in a structured network determined by the zero/non-zero patterns of edges. For diffusively-coupled networks with self-loops,…

General Topology · Mathematics 2025-09-08 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

This paper presents several conditions to determine strong sign controllability for diffusively-coupled undirected networks. The strong sign controllability is determined by the sign patterns (positive, negative, zero) of the edges. We…

Systems and Control · Electrical Eng. & Systems 2022-05-12 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

This paper examines the structural controllability for a group of agents, called followers, connected to each other based on the consensus law under commands of multiple leaders, which are agents with superior capabilities, over a fixed…

Systems and Control · Computer Science 2018-03-15 Milad M. Kazemi , Mohsen Zamani , Zhiyong Chen

Within the context of structured networks, this paper introduces the concept of the Fixed Strongly Structurally Controllable Subspace (FSSCS), enabling a comprehensive characterization of controllable subspaces. From a graph-theoretical…

Algebraic Topology · Mathematics 2025-01-14 Nam-Jin Park , Yeong-Ung Kim , Koog-Hwan Oh , Hyo-Sung Ahn

The article addresses the problem of strong structural controllability of structured networks with multi-input multi-output (MIMO) node systems. The authors first present necessary and sufficient conditions for strong structural…

Systems and Control · Electrical Eng. & Systems 2023-05-19 Yanting Ni , Xuyang Lou , Junjie Jiao , Jiajia Jia

In this paper, we discuss the controllability of a family of linear time-invariant (LTI) networks defined on a signed graph. In this direction, we introduce the notion of positive and negative signed zero forcing sets for the…

Optimization and Control · Mathematics 2020-05-25 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

In this article, a new notion of modal strong structural controllability is introduced and examined for a family of LTI networks. These networks include structured LTI subsystems, whose system matrices have the same zero/nonzero/arbitrary…

Optimization and Control · Mathematics 2021-08-30 Shima Sadat Mousavi , Anastasios Kouvelas , Karl H. Johansson

To understand the controllability of complex networks is a forefront problem relevant to different fields of science and engineering. Despite recent advances in network controllability theories, an outstanding issue is to understand the…

Physics and Society · Physics 2016-07-01 Zhesi Shen , Wen-Xu Wang , Chen Zhao , Ying-Cheng Lai

This paper presents conditions for establishing topological controllability in undirected networks of diffusively coupled agents. Specifically, controllability is considered based on the signs of the edges (negative, positive or zero). Our…

Systems and Control · Computer Science 2019-03-28 Hyo-Sung Ahn , Kevin L. Moore , Seong-Ho Kwon , Quoc Van Tran , Byeong-Yeon Kim , Kwang-Kyo Oh
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