Conditions for stabilizability of time‐delay systems with real‐rooted plant

T Balogh, I Boussaada, T Insperger… - … Journal of Robust …, 2022 - Wiley Online Library
In this article we consider the‐stabilization of n th‐order linear time‐invariant dynamical
systems using multiplicity‐induced‐dominancy‐based controller design in the presence of …

Multiplicity-induced-dominancy for delay-differential equations of retarded type

G Mazanti, I Boussaada, SI Niculescu - Journal of Differential Equations, 2021 - Elsevier
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 …

The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of …

I Boussaada, G Mazanti, SI Niculescu - Comptes Rendus …, 2022 - numdam.org
In this paper, which is a direct continuation and generalization of the recent works by the
authors [17, 35], we show the validity of the generic multiplicity-induced-dominancy property …

Over-order multiplicities and their application in controlling delay dynamics. On zeros' distribution of linear combinations of Kummer hypergeometric functions

I Boussaada, G Mazanti, SI Niculescu - … : Control, Optimisation and …, 2024 - esaim-cocv.org
A series of recent works have shown that, for a system of linear functional differential
equations, a spectral value having a multiplicity exceeding the order of the system tends to …

Time-delay control of quadrotor unmanned aerial vehicles: a multiplicity-induced-dominancy-based approach

JJ Castillo-Zamora, I Boussaada… - Journal of Vibration …, 2023 - journals.sagepub.com
The current work exploits the effects of time-delays on the stability of unmanned aerial
vehicles s). In this regard, the main contribution is a symbolic/numeric application of the …

On the pole placement of scalar linear delay systems with two delays

S Fueyo, G Mazanti, I Boussaada… - IMA Journal of …, 2023 - academic.oup.com
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 links …

Multiplicity manifolds as an opening to prescribe exponential decay: auto-regressive boundary feedback in wave equation stabilization

K Ammari, I Boussaada, SI Niculescu, S Tliba - 2023 - hal.science
Exploring a more than 70 years old idea about the minimization of the spectral abscissa of
linear functional differential equations, a series of recent works highlighted the insights that …

Control of nonlinear system by means of feedback using the Python-control library

BG Bekualykyzy, ZA Zhakypkyzy… - 2024 IEEE 4th …, 2024 - ieeexplore.ieee.org
This document offers an overview of fundamental functionalities within the Python Control
Systems Library (python-control), a software tool in Python tailored for designing control …

Counting Characteristic Roots of Linear Delay Differential Equations. Part II: from Argument Principle to Rightmost Root Assignment Methods

SI Niculescu, I Boussaada - … Dynamics: Advances in Theory, Methods and …, 2022 - Springer
This chapter briefly presents some “user-friendly” methods and techniques (frequency-
domain approaches) for the analysis and control of linear dynamical systems in presence of …

New features of P3δ software: Partial pole placement via delay action

I Boussaada, G Mazanti, SI Niculescu, A Leclerc… - IFAC-PapersOnLine, 2021 - Elsevier
This paper presents the software Partial Pole Placement via Delay Action, or P3δ for short.
P3δ is a Python software with a friendly user interface for the design of parametric stabilizing …