Iterative Algorithms for Assessing Network Resilience Against Structured Perturbations

• Published in: IEEE transactions on control of network systems Vol. 9; no. 4; pp. 1816 - 1827
• Main Authors: Liu, Shenyu, Martinez, Sonia, Cortes, Jorge
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.12.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation algorithms; Eigenvalues and eigenfunctions; Energy levels; Heuristic algorithms; Iterative algorithms; Iterative methods; Linear systems; network systems; Perturbation; Perturbation methods; Resilience; Sparse matrices; spectral analysis; Stability analysis; Time invariant systems; Topology

This article studies network resilience against structured additive perturbations to its topology. We consider dynamic networks modeled as linear time-invariant systems subject to perturbations of bounded energy satisfying specific sparsity and entry-wise constraints. Given an energy level, the stru...