The model reduction problem in the Loewner framework for port-Hamiltonian and network
systems on graphs is studied. In particular, given a set of right-tangential interpolation data …

In this survey we present in an organic, complete, and accessible style the interconnection
framework for model order reduction. While this framework originally started as a revisitation …

In this article we extend the notion of time-domain moment to a class of general systems of
nonlinear differential-algebraic equations. Additionally, a new family of systems achieving …

The continuously increasing amount of noisy data demands the development of accurate
and efficient models for analysis, modeling, and control. In this article, we propose a novel …

In this paper we consider the problem of constructing nonlinear systems of second-order
equations that achieve moment matching. In particular, necessary and sufficient conditions …

We propose a procedure for the numerical approximation of invariance equations arising in
the moment matching technique associated with reduced-order modeling of high …

In this paper, we discuss the non-parametric estimate problem using kernel-based LTI
system identification techniques by constructing a Loewner-based interpolant of the …

This letter considers the problem of constructing exponentially stable interpolants in the
Loewner framework for linear systems of differential-algebraic equations. A designer must …

This paper studies the construction of nonlinear interpolants consisting of second-order
equations in the Loewner framework. First, conditions are given for which a system of …

Benefiting from the notion of Fréchet derivatives, we define Fréchet discrete operators, such
as gradient and Hessian, on infinite-dimensional spaces. The Fréchet discrete gradient …