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

107 citations

Showing 2020Show all

7 papers · 1 filter

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…