The past few decades have seen a significant spurt in developing lower-order, parsimonious
models of large-scale dynamical systems used for design and control. These surrogate …

The model reduction problem for (single-input, single-output) linear and nonlinear systems
is addressed using the notion of moment. A re-visitation of the linear theory allows to obtain …

Abstract Theory and methods to obtain reduced order models by moment matching from
input/output data are presented. Algorithms for the estimation of the moments of linear and …

Mathematical models are at the core of modern science and technology. An accurate
description of behaviors, systems and processes often requires the use of complex models …

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 thesis, different topics for models that consist of both differential and algebraic
equations are studied. The interest in such models, denoted DAE models, have increased …

The stability analysis for nonlinear differential-algebraic systems is addressed using tools
from classical control theory. Sufficient stability conditions relying on matrix inequalities are …

In this paper, we develop a balancing theory for nonlinear differential-algebraic control
systems. We exploit the maximally controlled invariant submanifold to define the …

The system of differential and operator equations is considered. This system is assumed to
enjoy an equilibrium point. The Cauchy problem with the initial condition with respect to one …

The problem of model reduction for nonlinear differential-algebraic systems is addressed
using the notions of moment and of steady-state response. These notions are formally …