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 …

In this paper, we study the notion of incremental stability for continuous-time nonlinear
systems forced by some external input. Thanks to the notion of “Killing vector field”, we …

Projected Dynamical Systems (PDSs) form a class of discontinuous constrained dynamical
systems, and have been used widely to solve optimization problems and variational …

In this paper, we study the relationship between systems controlled via Control Barrier
Function (CBF) approaches and a class of discontinuous dynamical systems, called …

We propose a saturating integrator based controller for infinite dimensional well-posed
linear systems, which prevents the controller state from leaving a desired closed interval …

A virtual oscillator (VO) based frequency-locked loop (FLL) is proposed to estimate the grid
frequency and added to the control algorithm of a virtual synchronous machine (VSM) in …

Projection-based integrators are effectively employed in high-precision systems with
growing industrial success. By utilizing a projection operator, the resulting projection-based …

A magnitude phase-locked loop (MPLL) is a system that synchronizes its output signal in
frequency, phase, and magnitude with the dominant sinusoidal component of its input …

Projection-based Controllers (PBCs) are currently gaining traction in both scientific and
engineering communities. In PBCs, the input-output signals of the controller are kept in …

We derive a sufficient condition guaranteeing that a singularly perturbed linear time-varying
system is strongly monotone with respect to a matrix cone $ C $ of rank $ k $. This implies …