This article presents basic concepts and recent research directions about the stability of
sampled-data systems with aperiodic sampling. We focus mainly on the stability problem for …

This article presents a two‐layered framework to investigate the output synchronization
problem in nonhomogeneous agent systems in the presence of periodic energy‐limited …

A dimension reduction method called discrete empirical interpolation is proposed and
shown to dramatically reduce the computational complexity of the popular proper orthogonal …

Neural diffusion on graphs is a novel class of graph neural networks that has attracted
increasing attention recently. The capability of graph neural partial differential equations …

We propose a novel point signature based on the properties of the heat diffusion process on
a shape. Our signature, called the Heat Kernel Signature (or HKS), is obtained by restricting …

Functions of matrices have been studied for as long as matrix algebra itself. Indeed, in his
seminal A Memoir on the Theory of Matrices (1858), Cayley investigated the square root of a …

In principle, the exponential of a matrix could be computed in many ways. Methods involving
approximation theory, differential equations, the matrix eigenvalues, and the matrix …

In principle, the exponential of a matrix could be computed in many ways. Methods involving
approximation theory, differential equations, the matrix eigenvalues, and the matrix …

A new algorithm for computing integrals involving the matrix exponential is given. The
method employs diagonal Padé approximation with scaling and squaring. Rigorous …

The high penetration of power electronic converters into dc microgrids may cause the
constant power load stability issues, which could lead to large voltage oscillations or even …