Recent efforts in the control community have focused on developing methods to guarantee closed-loop stability of systems controlled by multilayer perceptron (MLP)-based policies. However, little attention has been paid to the computational capacity demand of such controllers due to frequent network evaluations. These requirements can be prohibitive...
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 signal. We propose a novel MPLL design based on the model of a synchronverter (i.e., an inverter that behaves towards the power grid like a synchronous generator). The synchronve...
The Kuramoto model is essential for studying synchronization. In this work, we present sufficient conditions for global synchronization in networks of heterogeneous Kuramoto oscillators in the absence of homoclinic and heteroclinic cycles. The result is established by constructing a suitable Leonov function candidate for the Kuramoto model, which p...
This paper addresses the problem of controlling human mobility in order to mitigate an epidemic in a city. We consider a discrete-time human mobility model that captures daily mobility pattern between residences and different destinations in a city and also incorporates epidemic spread at each location. For this city-wide model, we provide techniqu...
International audience
This paper addresses negative definiteness conditions of quadratic functions, common in control problems with time-varying delay systems. Existing geometric conditions, relaxed by partitioning techniques, may lack monotonic convergence, making their optimality questionable. Alternative conditions based on the generalized S-procedure are known to be...
We investigate discrete-time conewise linear systems (CLS) for which all the solutions exhibit a finite number of switches. By switches, we mean transitions of a solution from one cone to another. Our interest in this class of CLS comes from the optimization-based control of an insulin infusion model for which the fact that solutions switch finitel...
This paper investigates the robust asymptotic stabilization of a linear time-invariant (LTI) system by static feedback with a static state quantization. It is shown that the controllable LTI system can be stabilized to zero in a finite time by means of nonlinear feedback with a quantizer having a limited (finite) number of values (quantization seed...
Minimum distance method for the reconstruction of the discrete dynamic of switched systems from output data that are strongly corrupted by noises generally leads to an erroneous detection of the active mode. An analysis of the influence of the output noises on this active mode detection method is addressed in this paper for autonomous linear discre...
In this work, we introduce a class of impulsive switching signals described via functional inequalities which govern the switching among different modes with state resets. By choosing the parameters of the inequalities appropriately, we can recover several known classes of switching signals and also allow for signals that depend on time, mode or st...
