75 citations · 229 across the 19 of their papers we have counts for
13 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…
A novel necessary and sufficient condition for the stability of first-order linear hyperbolic systems
Ismaïla Balogoun, Jean Auriol, Islam Boussaada +1
In this paper, we establish a necessary and sufficient stability condition for a class of two coupled first-order linear hyperbolic partial differential equations. Through a backst…
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…
YALTAPy and YALTAPy_Online: Python toolboxes for the -stability analysis of classical and fractional systems with commensurate delays
Hugo Cavalera, Jayvir Raj, Guilherme Mazanti +1
The aim of this paper is to give a presentation of the Python toolbox YALTAPy dedicated to the stability study of standard and fractional delay systems as well as its online versio…
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…
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…
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…
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…
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…
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…