activity
20202022
most citedMultiplicity-induced-dominancy for delay-differential equations of retarded type

75 citations · 189 across the 14 of their papers we have counts for

collaborators

14 papers

math.OC2022★ 4 cited

MID Property for Delay Systems: Insights on Spectral Values with Intermediate Multiplicity

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

This paper focuses on the problem of multiplicity induced dominancy (MID) for a class of linear time-invariant systems represented by delay-differential equations. If the problem o…

math.OC2022★ 3 cited

New Features of P3 Software. Insights and Demos

Islam Boussaada, Guilherme Mazanti, Silviu-Iulian Niculescu +4

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

math.OC2022★ 3 cited

Padé Approximation and Hypergeometric Functions: A Missing Link with the Spectrum of Delay-Differential Equations

Islam Boussaada, Guilherme Mazanti, Silviu-Iulian Niculescu

It is well known that rational approximation theory involves degenerate hypergeometric functions and, in particular, the Padé approximation of the exponential function is closely r…

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.OC2021★ 11 cited

Stability, Delays and Multiple Characteristic Roots in Dynamical Systems: A Guided Tour

Silviu-Iulian Niculescu, Islam Boussaada, Xu-Guang Li +2

This paper presents a guided tour of some specific problems encountered in the stability analysis of linear dynamical systems including delays in their systems' representation. Mor…

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.OC2020★ 18 cited

Analysis and Design of Strongly Stabilizing PID Controllers for Time-Delay Systems

Pieter Appeltans, Silviu-Iulian Niculescu, Wim Michiels

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of t…

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.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.OC2020★ 14 cited

Effects of Roots of Maximal Multiplicity on the Stability of Some Classes of Delay Differential-Algebraic Systems: The Lossless Propagation Case

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

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 multipli…