output
20082022
most citedStability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach

107 citations

22 papers

math.OC2022★ 1 cited

Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint

M. S. Aronna, F. Bonnans, B. S. Goh

We deal with a control-affine problem with scalar control subject to bounds, a scalar state constraint and endpoint constraints of equality type. For the numerical solution of this…

math.DS2022★ 16 cited

On the pole placement of scalar linear delay systems with two delays

Sébastien Fueyo, Guilherme Mazanti, Islam Boussaada +2

This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing l…

math.OC2022

Decomposed resolution of finite-state aggregative optimal control problems

Kang Liu, Nadia Oudjane, Laurent Pfeiffer

A class of finite-state and discrete-time optimal control problems is introduced. The problems involve a large number of agents with independent dynamics, which interact through an…

math.OC2021★ 4 cited

On the characterization of equilibria of nonsmooth minimal-time mean field games with state constraints

Saeed Sadeghi Arjmand, Guilherme Mazanti

In this paper, we consider a first-order deterministic mean field game model inspired by crowd motion in which agents moving in a given domain aim to reach a given target set in mi…

math.OC2021★ 2 cited

Insights into the multiplicity-induced-dominancy for scalar delay-differential equations with two delays

Sébastien Fueyo, Guilherme Mazanti, Islam Boussaada +2

It has been observed in recent works that, for several classes of linear time-invariant time-delay systems of retarded or neutral type with a single delay, if a root of its charact…

math.OC2021★ 8 cited

New Features of P3 software: Partial Pole Placement via Delay Action

Islam Boussaada, Guilherme Mazanti, Silviu-Iulian Niculescu +3

This paper presents the software Partial Pole Placement via Delay Action, or P3 for short. P3 is a Python software with a friendly user interface for the design of parametric…

math.CA2021★ 13 cited

Some Remarks on the Location of Non-Asymptotic Zeros of Whittaker and Kummer Hypergeometric Functions

Islam Boussaada, Guilherme Mazanti, Silviu-Iulian Niculescu

This paper focuses on the location of the non-asymptotic zeros of Whittaker and Kummer confluent hypergeometric functions. Based on a technique by E. Hille for the analysis of solu…

math.OC2021★ 9 cited

Multi-population minimal-time mean field games

Saeed Sadeghi Arjmand, Guilherme Mazanti

In this paper, we consider a mean field game model inspired by crowd motion in which several interacting populations evolving in aim at reaching given target sets in…

math.OC2021

A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints

Joseph Frédéric Bonnans, Justina Gianatti, Laurent Pfeiffer

The objective of this paper is to analyze the existence of equilibria for a class of deterministic mean field games of controls. The interaction between players is due to both a co…

math.OC2020★ 2 cited

Decomposition of convex high dimensional aggregative stochasticcontrol problems

Adrien Séguret, Clémence Alasseur, J. Frédéric Bonnans +3

We consider the framework of convex high dimensional stochastic control problems, in which the controls are aggregated in the cost function. As first contribution, we introduce a m…

math.OC2020★ 21 cited

Partial Pole Placement via Delay Action: A Python Software for Delayed Feedback Stabilizing Design

Islam Boussaada, Guilherme Mazanti, Silviu-Iulian Niculescu +3

This paper presents a new Python software for the parametric design of stabilizing feedback laws with time delays, called Partial Pole Placement via Delay Action (P3). After an…

math.AP2020★ 11 cited

Second order local minimal-time Mean Field Games

Romain Ducasse, Guilherme Mazanti, Filippo Santambrogio

The paper considers a forward-backward system of parabolic PDEs arising in a Mean Field Game (MFG) model where every agent controls the drift of a trajectory subject to Brownian di…

math.DS2020

and BIBO stability of systems with variable delays

Catherine Bonnet, Jonathan R. Partington

This paper considers and BIBO stability and stabilization issues for systems with time-varying delays which can be of retarded or neutral type. An important role is played by…

math.OC2020★ 1 cited

Spectral dominance of complex roots for single-delay linear equations

Guilherme Mazanti, Islam Boussaada, Silviu-Iulian Niculescu +1

This paper provides necessary and sufficient conditions for the existence of a pair of complex conjugate roots, each of multiplicity two, in the spectrum of a linear time-invariant…

math.OC2020

On qualitative properties of single-delay linear retarded differential equations: Characteristic roots of maximal multiplicity are necessarily dominant

Guilherme Mazanti, Islam Boussaada, Silviu-Iulian Niculescu

This paper presents necessary and sufficient conditions for the existence of a real root of maximal multiplicity in the spectrum of a linear time-invariant single-delay equation of…

math.DS2020★ 75 cited

Multiplicity-induced-dominancy for delay-differential equations of retarded type

Guilherme Mazanti, Islam Boussaada, Silviu-Iulian Niculescu

An important question of ongoing interest for linear time-delay systems is to provide conditions on its parameters guaranteeing exponential stability of solutions. Recent works hav…

math.OC2018★ 7 cited

On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems

Yacine Chitour, Guilherme Mazanti, Mario Sigalotti

Given a discrete-time linear switched system associated with a finite set of matrices, we consider the measures of its asymptotic behavior given by, on…

physics.flu-dyn2018★ 19 cited

A Framework for Input-Output Analysis of Wall-Bounded Shear Flows

Mohamadreza Ahmadi, Giorgio Valmorbida, Dennice Gayme +1

We propose a framework to understand input-output amplification properties of non- linear partial differential equation (PDE) models of wall-bounded shear flows, which are spatiall…

math.CA2016★ 13 cited

Local weak observability conditions of sensorless AC drives

Mohamad Koteich, Abdelmalek Maloum, Gilles Duc +1

Alternating current (AC) electrical drive control without mechanical sensors is an active research topic. This paper studies the observability of both induction machine and synchro…

eess.SY2015★ 24 cited

Discussion on "AC Drive Observability Analysis"

Mohamad Koteich, Abdelmalek Maloum, Gilles Duc +1

In the paper by Vaclavek et al. (IEEE Trans. Ind. Electron., vol. 60, no. 8, pp. 3047-3059, Aug. 2013), the local observability of both induction machine and permanent-magnet synch…

q-fin.CP2011★ 33 cited

Exact and asymptotic results for insurance risk models with surplus-dependent premiums

Hansjörg Albrecher, Corina Constantinescu, Zbigniew Palmowski +2

In this paper we develop a symbolic technique to obtain asymptotic expressions for ruin probabilities and discounted penalty functions in renewal insurance risk models when the pre…

math.OC2008★ 107 cited

Stability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach

C. De Persis, F. Mazenc

Lyapunov-Krasowskii functionals are used to design quantized control laws for nonlinear continuous-time systems in the presence of constant delays in the input. The quantized contr…