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

107 citations

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13 papers · 1 filter

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.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.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.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.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…

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…