This paper defines and characterizes two measures of synchronization performance for
networks of coupled linear oscillators. The first is the aggregate steady state variance of the …

While numerous studies have suggested that large natural, biological, social, and
technological networks are fragile, convincing theories are still lacking to explain why …

This paper examines the dependence of network performance measures on network size
and considers scaling results for large networks. We connect two performance measures …

We propose new asymptotic notions that capture the robustness of a large interconnected
network as dimension of the network grows. Specifically, we address the question of how …

Understanding how the “degree” of non-normality of a networked system is connected with
the topological structure of the underlying graph is of crucial importance in many areas of the …

This article focuses on develo** a framework to assess robustness in large interconnected
networks that arise frequently in many socioeconomic networks such as transportation …

We consider the problem of asymptotic robustness in large consensus networks that occur in
many areas such as distributed optimization. Robustness, in this context, is the scaling of …

This paper investigates the robustness of linear consensus networks which are designed
under a hierarchical scheme based on Cartesian product. For robustness analysis …

Impulsive inputs applied at influential nodes of a network system may result in undesirable
behavior and degrade performance. This paper proposes the notion of vulnerability matrix …

Motivated by applications in fault/attack detection of engineering systems, we formulate in
this paper a parameterized switched linear systems identification problem. First, we show …