Mazanti, Guilherme Boussaada, Islam Niculescu, Silviu-Iulian Chitour, Yacine

It has been observed in several recent works that, for some classes of linear time-delay systems, spectral values of maximal multiplicity are dominant, a property known as multiplicity-induced-dominancy (MID). This paper starts the investigation of whether MID holds for delay differential-algebraic systems by considering a single-delay system compo...

Saoud, Adnane Jagtap, Pushpak Zamani, Majid Girard, Antoine

In this paper, we consider the problem of abstraction-based controller synthesis for interconnected control systems. In general, the conventional methods for the construction of discrete abstractions and synthesis become computationally expensive due to the state and input spaces dimensions while dealing with large interconnected systems. The resul...

Le Thi, Hoai An Le, Hoai Minh Pham Dinh, Tao Nguyen, Ngoc Thanh Quynh, Tran Duc Le, Luong Vuong Nguyen, Quang Thuan Tran, Duc Quynh Thuan, Nguyen Quang Anh, Nguyen Duc
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Kiedanski, Diego Bušić, Ana Kofman, Daniel ORDA, Ariel

Local energy generation as well as local energy storage represent key opportunities for energy transition. Nevertheless , their massive deployment is being delayed mainly due to cost reasons. Sharing resources at the local level enables not only reducing these costs significantly, but also to further optimize the cost of the energy exchanged with p...

Ali, Mohammed Shabbir Coucheney, Pierre Coupechoux, Marceau

We propose a distributed learning algorithm for the resource allocation problem in Device-to-Device (D2D) wireless networks that takes into account the throughput estimation noise. We first formulate a stochastic optimization problem with the objective of maximizing the generalized alpha fair function of the network. In order to solve it distributi...

Iutzeler, Franck Malick, Jérôme

Nonsmoothness is often a curse for optimization; but it is sometimes a blessing, in particular for applications in machine learning. In this paper, we present the specific structure of nonsmooth optimization problems appearing in machine learning and illustrate how to leverage this structure in practice, for compression, acceleration, or dimension ...

Marushkevych, Dmytro Popier, Alexandre
Published in
Probability, Uncertainty and Quantitative Risk

We use the functional Itô calculus to prove that the solution of a BSDE with singular terminal condition verifies at the terminal time: liminft→TY(t)=ξ=Y(T)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\odds...

Liu, Kang Oudjane, Nadia Wan, Cheng

This paper shows the existence of O(1/n^γ)-Nash equilibria in n-player noncooperative aggregative games where the players' cost functions depend only on their own action and the average of all the players' actions, and is lower semicontinuous in the former while γ-Hölder continuous in the latter. Neither the action sets nor the cost functions need ...

Brivadis, Lucas Gauthier, Jean-Paul Sacchelli, Ludovic Serres, Ulysse

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less observable as it approaches the target. We illustrate two main ideas: well chosen perturbations of a state feedback la...

Ennaji, Hamza Igbida, Noureddine Nguyen, Van

The continuous Lambertian shape from shading is studied using a PDE approach in terms of Hamilton-Jacobi equations. The latter will then be characterized by a maximization problem. In this paper we show the convergence of discretization and propose to use the wellknown Chambolle-Pock primal-dual algorithm to solve numerically the shape from shading...