75 citations · 174 across the 18 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…