75 citations · 174 across the 18 of their papers we have counts for
19 papers
A mathematical framework for time-delay reservoir computing analysis
Anh-Tuan Clabaut, Jean Auriol, Islam Boussaada +1
Reservoir computing is a well-established approach for processing data with a much lower complexity compared to traditional neural networks. Despite two decades of experimental pro…
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…
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…
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…
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…
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…