Type
ArticleKAUST Department
Electrical Engineering ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Physical Science and Engineering (PSE) Division
Date
2020-05-03Permanent link to this record
http://hdl.handle.net/10754/660695
Metadata
Show full item recordAbstract
We review selected results related to the robustness of networked systems in finite and asymptotically large size regimes in static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss the effect of physical constraints on robustness to loss in link capacities. In the dynamical setting, we review several settings in which small-gain-type analysis provides tight robustness guarantees for linear dynamics over finite networks toward worst-case and stochastic disturbances. We discuss network flow dynamic settings where nonlinear techniques facilitate understanding the effect, on robustness, of constraints on capacity and information, substituting information with control action, and cascading failure. We also contrast cascading failure with a representative contagion model. For asymptotically large networks, we discuss the role of network properties in connecting microscopic shocks to emergent macroscopic fluctuations under linear dynamics as well as for economic networks at equilibrium. Through this review, we aim to achieve two objectives: to highlight selected settings in which the role of the interconnectivity structure of a network in its robustness is well understood, and to highlight a few additional settings in which existing system-theoretic tools give tight robustness guarantees and that are also appropriate avenues for future network-theoretic investigations.Citation
Savla, K., Shamma, J. S., & Dahleh, M. A. (2020). Network Effects on the Robustness of Dynamic Systems. Annual Review of Control, Robotics, and Autonomous Systems, 3(1), 115–149. doi:10.1146/annurev-control-091219-012549Sponsors
This work was supported by National Science Foundation CAREER Electrical, Communications, and Cyber Systems grant 1454729 and by funding from King Abdullah University of Science and Technology. The authors thank Bassam Bamieh for helpful discussions.Publisher
Annual ReviewsarXiv
1909.06506Additional Links
https://www.annualreviews.org/doi/10.1146/annurev-control-091219-012549http://arxiv.org/pdf/1909.06506
ae974a485f413a2113503eed53cd6c53
10.1146/annurev-control-091219-012549
Scopus Count
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