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Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Chen Liang , Linqi Guo , Alessandro Zocca , Steven H. Low , Adam Wierman

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

Interdependent networks are ubiquitous in our society, ranging from infrastructure to economics, and the study of their cascading behaviors using percolation theory has attracted much attention in the recent years. To analyze the…

Physics and Society · Physics 2015-02-06 Ling Feng , Christopher Pineda Monterola , Yanqing Hu

We introduce an external control to reduce the size of avalanches in some sandpile models exhibiting self organized criticality. This rather intuitive approach seems to be missing in the vast literature on such systems. The control action,…

Computational Physics · Physics 2015-06-16 Daniel O. Cajueiro , Roberto F. S. Andrade

In social networks, the collective behavior of large populations can be shaped by a small set of influencers through a cascading process induced by "peer pressure". For large-scale networks, efficient identification of multiple influential…

Physics and Society · Physics 2017-03-16 Sen Pei , Xian Teng , Jeffrey Shaman , Flaviano Morone , Hernán A. Makse

Many systems, ranging from engineering to medical to societal, can only be properly characterized by multiple interdependent networks whose normal functioning depends on one another. Failure of a fraction of nodes in one network may lead to…

Disordered Systems and Neural Networks · Physics 2015-05-13 Sergey V. Buldyrev , Roni Parshani , Gerald Paul , H. Eugene Stanley , Shlomo Havlin

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

Physics and Society · Physics 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

We investigate cascades in networks consisting of strategic agents with interdependent security. We assume that the strategic agents have choices between i) investing in protecting themselves, ii) purchasing insurance to transfer (some)…

Social and Information Networks · Computer Science 2015-02-27 Richard J. La

A method is devised for numerically solving a class of finite-horizon optimal control problems subject to cascade linear discrete-time dynamics. It is assumed that the linear state and input inequality constraints, and the quadratic measure…

Optimization and Control · Mathematics 2017-10-13 Michael Cantoni , Farhad Farokhi , Eric C. Kerrigan , Iman Shames

Threshold cascade models have been used to describe spread of behavior in social networks and cascades of default in financial networks. In some cases, these networks may have multiple kinds of interactions, such as distinct types of social…

Physics and Society · Physics 2016-10-05 Kyu-Min Lee , Charles D. Brummitt , K. -I. Goh

Complex socioeconomic networks such as information, finance and even terrorist networks need resilience to cascades - to prevent the failure of a single node from causing a far-reaching domino effect. We show that terrorist and guerrilla…

Combinatorics · Mathematics 2010-11-23 Alexander Gutfraind

Modern network-like systems are usually coupled in such a way that failures in one network can affect the entire system. In infrastructures, biology, sociology, and economy, systems are interconnected and events taking place in one system…

Data Analysis, Statistics and Probability · Physics 2010-12-02 S. Havlin , N. A. M. Araujo , S. V. Buldyrev , C. S. Dias , R. Parshani , G. Paul , H. E. Stanley

Multilayer networks have been found to be prone to abrupt cascading failures under random and targeted attacks, but most of the targeting algorithms proposed so far have been mainly tested on uncorrelated systems. Here we show that the size…

Physics and Society · Physics 2020-07-23 Andrea Santoro , Vincenzo Nicosia

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

We propose a novel class of separable multilayer network models to capture cross-layer dependencies in multilayer networks, enabling the analysis of how interactions in one or more layers may influence interactions in other layers. Our…

Statistics Theory · Mathematics 2025-01-10 Jiaheng Li , Jonathan R. Stewart

Overload-induced cascading failures can cause extreme disruptions in a wide range of networked systems, such as power grids, transportation networks, or financial systems. Empirical studies across domains report that the size of such…

Physics and Society · Physics 2026-01-06 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou , Bert Zwart

We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that the failure probability of a node depends on its degree (number of…

Networking and Internet Architecture · Computer Science 2009-08-28 Zhenning Kong , Edmund M. Yeh

We develop a framework for studying and quantifying the risk of cascading failures in time-delay consensus networks, motivated by a team of agents attempting temporal rendezvous under stochastic disturbances and communication delays. To…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Guangyi Liu , Vivek Pandey , Christoforos Somarakis , Nader Motee

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

Avalanche dynamics is an indispensable feature of complex systems. Here we study the self-organized critical dynamics of avalanches on scale-free networks with degree exponent $\gamma$ through the Bak-Tang-Wiesenfeld (BTW) sandpile model.…

Statistical Mechanics · Physics 2007-05-23 D. -S. Lee , K. -I. Goh , B. Kahng , D. Kim
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