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Network controllability robustness reflects how well a networked system can maintain its controllability against destructive attacks. Its measure is quantified by a sequence of values that record the remaining controllability of the network…

Physics and Society · Physics 2022-10-14 Yang Lou , Yaodong He , Lin Wang , Kim Fung Tsang , Guanrong Chen

Network robustness is critical for various societal and industrial networks again malicious attacks. In particular, connectivity robustness and controllability robustness reflect how well a networked system can maintain its connectedness…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Yang Lou , Ruizi Wu , Junli Li , Lin Wang , Xiang Li , Guanrong Chen

Connectivity and controllability of a complex network are two important issues that guarantee a networked system to function. Robustness of connectivity and controllability guarantees the system to function properly and stably under various…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Chengpei Wu , Yang Lou , Ruizi Wu , Wenwen Liu , Junli Li

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

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

Robustness and evolvability are essential properties to the evolution of biological networks. To determine if a biological network is robust and/or evolvable, it is required to compare its functions before and after mutations. However, this…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Hyobin Kim , Stalin Muñoz , Pamela Osuna , Carlos Gershenson

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

With neural networks being used to control safety-critical systems, they increasingly have to be both accurate (in the sense of matching inputs to outputs) and robust. However, these two properties are often at odds with each other and a…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Ross Drummond , Chris Guiver , Matthew C. Turner

This paper addresses the robustness of a network to sustain its connectivity and controllability against malicious attacks. This kind of network robustness is typically measured by the time-consuming attack simulation, which returns a…

Machine Learning · Computer Science 2024-02-06 Chengpei Wu , Yang Lou , Lin Wang , Junli Li , Xiang Li , Guanrong Chen

Learning and analysis of network robustness, including controllability robustness and connectivity robustness, is critical for various networked systems against attacks. Traditionally, network robustness is determined by attack simulations,…

Machine Learning · Computer Science 2024-04-16 Yu Zhang , Jia Li , Jie Ding , Xiang Li

Connectivity robustness, a crucial aspect for understanding, optimizing, and repairing complex networks, has traditionally been evaluated through time-consuming and often impractical simulations. Fortunately, machine learning provides a new…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Wenjun Jiang , Tianlong Fan , Changhao Li , Chuanfu Zhang , Tao Zhang , Zong-fu Luo

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

When designing controllers for safety-critical systems, practitioners often face a challenging tradeoff between robustness and performance. While robust control methods provide rigorous guarantees on system stability under certain…

Machine Learning · Computer Science 2021-04-27 Priya L. Donti , Melrose Roderick , Mahyar Fazlyab , J. Zico Kolter

Network robustness is critical for various industrial and social networks against malicious attacks, which has various meanings in different research contexts and here it refers to the ability of a network to sustain its functionality when…

Social and Information Networks · Computer Science 2023-02-09 Yang Lou , Lin Wang , Guanrong Chen

In order to evaluate the invulnerability of networks against various types of attacks and provide guidance for potential performance enhancement as well as controllability maintenance, network controllability robustness (NCR) has attracted…

Machine Learning · Computer Science 2026-03-04 Shibing Mo , Jiarui Zhang , Jiayu Xie , Xiangyi Teng , Jing Liu

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

The study of network structural controllability focuses on the minimum number of driver nodes needed to control a whole network. Despite intensive studies on this topic, most of them consider static networks only. It is well-known, however,…

Physics and Society · Physics 2021-01-27 Rui Zhang , Xiaomeng Wang , Ming Cheng , Tao Jia

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

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

In a recent paper, it has been suggested that the controllability of a diffusively coupled complex network, subject to localized feedback loops at some of its vertices, can be assessed by means of a Master Stability Function approach, where…

Disordered Systems and Neural Networks · Physics 2007-08-09 Francesco Sorrentino
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