Resilient Structural Stabilizability of Undirected Networks

  title={Resilient Structural Stabilizability of Undirected Networks},
  author={Jingqi Li and Ximing Chen and S{\'e}rgio Daniel Pequito and George J. Pappas and Victor M. Preciado},
  journal={2019 American Control Conference (ACC)},
In this paper, we consider the structural stabilizability problem of undirected networks. More specifically, we are tasked to infer the stabilizability of an undirected network from its underlying topology, where the undirected networks are modeled as continuous-time linear time-invariant (LTI) systems involving symmetric state matrices. Firstly, we derive a graph-theoretic necessary and sufficient condition for structural stabilizability of undirected networks. Then, we propose a method to… 
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