14 citations · 39 across the 6 of their papers we have counts for
6 papers
Simulation of Nonlinear Systems Trajectories: between Models and Behaviors
Antonio Fazzi, Alessandro Chiuso
In this paper, we study connections between the classical model-based approach to nonlinear system theory, where systems are represented by equations, and the nonlinear behavioral…
Addition and intersection of linear time-invariant behaviors
Antonio Fazzi, Ivan Markovsky
We define and analyze the operations of addition and intersection of linear time-invariant systems in the behavioral setting, where systems are viewed as sets of trajectories rathe…
Finding the nearest passive or non-passive system via Hamiltonian eigenvalue optimization
Antonio Fazzi, Nicola Guglielmi, Christian Lubich
We propose and study an algorithm for computing a nearest passive system to a given non-passive linear time-invariant system (with much freedom in the choice of the metric defining…
A gradient system approach for Hankel structured low-rank approximation
Antonio Fazzi, Nicola Guglielmi, Ivan Markovsky
Rank deficient Hankel matrices are at the core of several applications. However, in practice, the coefficients of these matrices are noisy due to e.g. measurements errors and compu…
Generalized algorithms for the approximate matrix polynomial GCD of reducing data uncertainties with application to MIMO system and control
A. Fazzi, N. Guglielmi, I. Markovsky
Computation of (approximate) polynomials common factors is an important problem in several fields of science, like control theory and signal processing. While the problem has been…
A Gauss--Newton iteration for Total Least Squares problems
Dario Fasino, Antonio Fazzi
The Total Least Squares solution of an overdetermined, approximate linear equation minimizes a nonlinear function which characterizes the backward error. We show tha…