New safety critical systems are about to appear in our everyday life: advanced robots able to interact with humans and perform tasks at home, in hosp…

Legged robots are typically in rigid contact with the environment at multiple locations, which add a degree of complexity to their control. We presen…

Following a polynomial approach, many robust fixed-order controller design problems can be formulated as optimization problems whose set of feasible …

This paper presents a novel decentralized control strategy for a multi-robot system that enables parallel multi-target exploration while ensuring a t…

In this paper, we define a general class of abstract aerial robotic systems named Laterally Bounded Force (LBF) vehicles, in which most of the contro…

Given a compact basic semi-algebraic set $K\subset R^n\times R^m$, a simple set $B$ (box or ellipsoid), and some semi-algebraic function $f$, we cons…

We first show that a continuous function f is nonnegative on a closed set $K\subseteq R^n$ if and only if (countably many) moment matrices of some si…

Human interaction introduces two main constraints: Safety and Comfort. Therefore service robot manipulator can't be controlled like industrial roboti…

The problem of state reconstruction and estimation is considered for a class of switched dynamical systems whose subsystems are modeled using linear …

We present a new approach to the design of D-optimal experiments with multivariate polynomial regressions on compact semi-algebraic design spaces. We…

This paper considers the stability problem of a linear time invariant system in feedback with a string equation. A new Lyapunov functional candidate …

A common strategy today to generate efficient locomotion movements is to split the problem into two consecutive steps: the first one generates the co…

In this section, the local stability of the nonlinear inverse problem stated in Theorem 1.2 will be proved following the ideas of [8] and [22]. The proof is splited in several steps.

This paper presents an inverse problem for the nonlinear 1-d Kuramoto-Sivashinsky (K-S) equation. More precisely, we study the nonlinear inverse prob…

This paper deals with the stabilization of an anti-stable string equation with Dirichlet actuation where the instability appears because of the uncon…

Using uniform global Carleman estimates for discrete elliptic and semi-discrete hyperbolic equations, we study Lipschitz and logarithmic stability fo…

Neural networks are powering the deployment of embedded devices and Internet of Things. Applications range from personal assistants to critical ones …

In this paper, we advocate using the results of setwise contests between candidates to design social welfare functions that are less myopic than those only based on pairwise comparisons. In this direction, we have studied a k-wise generalization of …

In this paper, we advocate the use of setwise contests for aggregating a set of input rankings into an output ranking. We propose a generalization of…

The concept of explainability is envisioned to satisfy society's demands for transparency on machine learning decisions. The concept is simple: like …

This section is devoted to the proof of Theorem 4. The proof relies on a compactness-uniqueness argument and the observability estimate (Theorem 5) on the whole network.

In this article, we prove a uniqueness result for a coefficient inverse problems regarding a wave, a heat or a Schr\"odinger equation set on a tree-s…

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