activity
20212026
most citedThe strong stability of the Perron-Frobenius semigroup and almost global attractivity

2 citations · 3 across the 4 of their papers we have counts for

collaborators

5 papers

math.DS2026★ 2 cited

The strong stability of the Perron-Frobenius semigroup and almost global attractivity

Pietro Lorenzetti, George Weiss

We discuss some useful properties of the solution map (flow) of a nonlinear dynamical system with a finite-dimensional state space. Then, we introduce the Perron-Frobenius semigrou…

math.OC2025

Projected integral control of impedance passive nonlinear systems

Nicolas Vanspranghe, Pietro Lorenzetti, Lassi Paunonen +1

We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considere…

math.OC2022★ 1 cited

PI control of stable nonlinear plants using projected dynamical systems

Pietro Lorenzetti, George Weiss

This paper presents a novel anti-windup proportional-integral controller for stable multi-input multi-output nonlinear plants. We use tools from projected dynamical systems theory…

math.OC2021

The equilibrium points and stability of grid-connected synchronverters

Pietro Lorenzetti, Zeev Kustanovich, Shivprasad Shivratri +1

Virtual synchronous machines are inverters with a control algorithm that causes them to behave towards the power grid like synchronous generators. A popular way to realize such inv…

math.OC2021

Saturating PI control of stable nonlinear systems using singular perturbations

Pietro Lorenzetti, George Weiss

This paper presents an anti-windup PI controller, using a saturating integrator, for a single-input single-output stable nonlinear plant, whose steady-state input-output map is inc…