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Modern control systems are featured by their hierarchical structure composing of cyber, physical, and human layers. The intricate dependencies among multiple layers and units of modern control systems require an integrated framework to…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Yunhan Huang , Juntao Chen , Linan Huang , Quanyan Zhu

Cyber resilience is a complementary concept to cybersecurity, focusing on the preparation, response, and recovery from cyber threats that are challenging to prevent. Organizations increasingly face such threats in an evolving cyber threat…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Quanyan Zhu

In optimal control problems, disturbances are typically dealt with using robust solutions, such as H-infinity or tube model predictive control, that plan control actions feasible for the worst-case disturbance. Yet, planning for every…

Optimization and Control · Mathematics 2020-08-27 Luiz F. O. Chamon , Alexandre Amice , Santiago Paternain , Alejandro Ribeiro

Robustness is key to engineering, automation, and science as a whole. However, the property of robustness is often underpinned by costly requirements such as over-provisioning, known uncertainty and predictive models, and known adversaries.…

Robotics · Computer Science 2021-09-28 Amanda Prorok , Matthew Malencia , Luca Carlone , Gaurav S. Sukhatme , Brian M. Sadler , Vijay Kumar

Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metrics often lack computational accessibility and…

Dynamical Systems · Mathematics 2026-02-09 Andreas Morr , Christian Kuehn , George Datseris

The present article introduces a reference framework for discussing resilience of computational systems. Rather than a property that may or may not be exhibited by a system, resilience is interpreted here as the emerging result of a dynamic…

Systems and Control · Computer Science 2015-04-13 Vincenzo De Florio

The concept of resilience embodies the quest towards the ability to sustain shocks, to suffer from these shocks as little as possible, for the shortest time possible, and to recover with the full functionalities that existed before the…

Physics and Society · Physics 2014-08-26 Tatyana Kovalenko , Didier Sornette

Despite the impressive performance of Artificial Intelligence (AI) systems, their robustness remains elusive and constitutes a key issue that impedes large-scale adoption. Robustness has been studied in many domains of AI, yet with…

Artificial Intelligence · Computer Science 2022-10-20 Andrea Tocchetti , Lorenzo Corti , Agathe Balayn , Mireia Yurrita , Philip Lippmann , Marco Brambilla , Jie Yang

Stability is among the most important concepts in dynamical systems. Local stability is well-studied, whereas determining how "globally stable" a nonlinear system is very challenging. Over the last few decades, many different ideas have…

Dynamical Systems · Mathematics 2022-10-10 Hana Krakovská , Christian Kühn , Iacopo P. Longo

Resilience refers to the ability of systems to withstand, adapt to, and recover from disruptive events. While studies on resilience have attracted significant attention across various research domains, the precise definition of this concept…

Resiliency has garnered attention in the management of critical infrastructure as a metric of system performance, but there are significant roadblocks to its implementation in a realistic decision-making framework. Contrasted to risk and…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Vincent P. Paglioni , Graeme Troxell , Aaron Brown , Steve Conrad , Mazdak Arabi

In this chapter, we introduce methods to address resiliency issues for control systems. The main challenge for control systems is its cyber-physical system nature which strongly couples the cyber systems with physical layer dynamics. Hence…

Systems and Control · Electrical Eng. & Systems 2021-05-19 Quanyan Zhu

AI is displacing tasks, mediating high-stakes decisions, and flooding communication with synthetic content, unsettling work, identity, and social trust. We argue that the decisive human countermeasure is resilience. We define resilience…

Computers and Society · Computer Science 2025-10-30 Shaoshan Liu , Anina Schwarzenbach , Yiyu Shi

Natural systems are remarkably robust and resilient, maintaining essential functions despite variability, uncertainty, and hostile conditions. Understanding these nonlinear, dynamic behaviours is challenging because such systems involve…

Mathematical Physics · Physics 2025-12-02 Daniele Proverbio , Rami Katz , Giulia Giordano

Approaches to understanding resilience from psychology and sociology emphasise individuals' agency but obscure systemic factors. Approaches to understanding resilience stemming from ecology emphasise system dynamics such as feedbacks but…

Populations and Evolution · Quantitative Biology 2019-11-07 Steven J. Lade , Brian H. Walker , L. Jamila Haider

Resilience is needed to make infrastructures fit for the future, but its operationalization is still lively discussed. Here, we identify three understandings of resilience from the existing literature: resilience as a process, an outcome,…

Physics and Society · Physics 2025-03-12 Lukas Halekotte , Andrea Mentges , Daniel Lichte

This tutorial presents cooperative and noncooperative game-theoretic frameworks for modeling, learning, and control in socio-technical systems, where human behavior, incentives, institutions, and social interactions are coupled with…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Tamer Başar , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

Resilience in coupled systems is increasingly critical in addressing global challenges such as climate change and pandemics. These systems show unpredictable behaviour due to dynamic complexity and deep uncertainty across spatiotemporal…

The term 'resilience' is increasingly being used in social-technical-environmental systems sciences and particularly also in the Earth system sciences. However, the diversity of resilience concepts and a certain (sometimes intended)…

Physics and Society · Physics 2021-12-08 Lea A. Tamberg , Jobst Heitzig , Jonathan F. Donges

Resilience is a rehashed concept in natural hazard management - resilience of cities to earthquakes, to floods, to fire, etc. In a word, a system is said to be resilient if there exists a strategy that can drive the system state back to…

Optimization and Control · Mathematics 2018-02-05 Michel De Lara
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