Lambert, Amélie

In this paper, we consider the optimal power flow (OPF) problem which consists in determining the power production at each bus of an electric network by minimizing the production cost. Our contribution is an exact solution algorithm for the OPF problem. It consits in a spatial branch-and-bound algorithm based on a compact quadratically constrained ...

Adhikari, Bikash Veetaseveera, Jomphop Varma, Vineeth Morarescu, Irinel-Constantin Panteley, Elena

We consider a clustered network where connections inside the cluster are dense and between clusters are sparse. This leads us to a classical decoupling into fast (intra-cluster) and slow (inter-cluster) dynamics. Our objective is to provide a computationally efficient method to design control strategies that guarantee a certain bound on the cost fo...

Sallé de Chou, Raoul Srir, Mohamed Ali Najman, Laurent Passat, Nicolas Talbot, Hugues Vignon-Clementel, Irene

Optimizing transport networks is a well-known class of problems that have been extensively studied, with application in many domains. Here we are interested in a generalization of the Steiner problem,which entails finding a graph minimizing a cost function associated withconnecting a given set of points. In this paper, we concentrate on a specific ...

Chouzenoux, Emilie Elvira, Víctor

State-space models (SSMs) are common tools in time-series analysis for inference and prediction. SSMs are versatile probabilistic models that allow for Bayesian inference by describing a (generally Markovian) latent process. However, the parameters of that latent process are often unknown and must be estimated. In this paper, we consider the parame...

Agrachev, Andrei Letrouit, Cyril

There exist many examples of systems which have some symmetries, and which one may monitor with symmetry preserving controls. Since symmetries are preserved along the evolution, full controllability is not possible, and controllability has to be considered inside sets of states with same symmetries. We prove that generic systems with symmetries are...

Tchouanti, Josué Bowong, Samuel

In this work, we study a Susceptible-Vaccinated-Infectious (SVI) epidemiological model with an infection age structure, an imperfect preventive vaccine administered to susceptible individuals and a therapeutic treatment of infectious ones. First, using integrated semigroup theory, we handle the well-posedness property of the model proposed and deri...

Apaza-Perez, W. A. Girard, Antoine

In this paper, we introduce a notion of input-to-statesafety (ISSf) and input-to-state attractivity (ISA) controllers for fi-nite state dynamical systems. Using such controllers, the deviationof the closed-loop trajectories from a safe or from a target setcan be bounded by a gain function that is increasing with respectto the amplitude of the distu...

Jacquet, Quentin Bialecki, Agnes Gaubert, Stéphane Zorgati, Riadh

We introduce a family of cardinality's lower bounds, defined as ratios of norms. We prove that the tightest bound of the family is obtained as a limit case, and involves a Shannon entropy. We then use this entropic lower bound in sparse optimization problems to approximate cardinality requirements. This provides a nonlinear nonconvex relaxed proble...

Jacquet, Quentin van Ackooij, Wim Alasseur, Clémence Gaubert, Stéphane

We consider a control problem for a heterogeneous population composed of customers able to switch at any time between different contracts, depending not only on the tariff conditions but also on the characteristics of each individual. A provider aims to maximize an average gain per time unit, supposing that the population is of infinite size. This ...

Santosuosso, Luca Camal, Simon Di Giorgio, Alessandro Liberati, Francesco Michiorri, Andrea Kariniotakis, Georges