3 papers
math.OC2026
On the Optimal Laplacian Jordan Structure for Synchronizability
Luca Dieci, Cinzia Elia, Alessandro Pugliese
In this work, for a network of differential equations with a prescribed graph structure, our goal is to show how to select the Laplacian of the network in order to obtain the most…
math.RA2025
Generic Cuspidal Points and Their Localization
Luca Dieci, Alessandro Pugliese
In this work we consider generic coalescing of eigenvalues of smooth complex valued matrix functions depending on 2 parameters. We call generic cuspidal points the parameter values…
math.DS2024
On an inverse tridiagonal eigenvalue problem and its application to synchronization of network motion
Luca Dieci, Cinzia Elia, Alessandro Pugliese
In this work, motivated by the study of stability of the synchronous orbit of a network with tridiagonal Laplacian matrix, we first solve an inverse eigenvalue problem which builds…