Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design

I Boussaada, SI Niculescu, A El-Ati… - … and Calculus of …, 2020 - esaim-cocv.org
This work revisits recent results on maximal multiplicity induced-dominancy for spectral
values in reduced-order time-delay systems and extends it to the general class of second …

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 …

Stability analysis of systems with delay-dependent coefficients: An overview

C Jin, K Gu, SI Niculescu, I Boussaada - IEEE Access, 2018 - ieeexplore.ieee.org
This paper gives an overview of the stability analysis of systems with delay-dependent
coefficients. Such systems are frequently encountered in various scientific and engineering …

Characterizing the codimension of zero singularities for time-delay systems: a link with Vandermonde and Birkhoff incidence matrices

I Boussaada, SI Niculescu - Acta Applicandae Mathematicae, 2016 - Springer
The analysis of time-delay systems mainly relies on detecting and understanding the
spectral values bifurcations when crossing the imaginary axis. This paper deals with the …

A frequency-sweeping framework for stability analysis of time-delay systems

XG Li, SI Niculescu, A Cela, L Zhang… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
For time-delay systems, the asymptotic behavior analysis of the critical imaginary roots wrt
the infinitely many critical delays is an open problem. In order to find a general solution, we …

Insights on equidistributed real spectral values in second-order delay systems: perspectives in partial pole placement

T Schmoderer, I Boussaada, SI Niculescu… - Systems & Control …, 2024 - Elsevier
In this work, we show that the coexistence of the maximal number of real spectral values of
generic single-delay retarded second-order differential equations guarantees the realness …

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 …

Control of a two-wheeled machine with two-directions handling mechanism using PID and PD-FLC algorithms

KM Goher, SO Fadlallah - International Journal of Automation and …, 2019 - Springer
This paper presents a novel five degrees of freedom (DOF) two-wheeled robotic machine
(TWRM) that delivers solutions for both industrial and service robotic applications by …

Bursting dynamics in a singular vector field with codimension three triple zero bifurcation

W Lyu, S Li, Z Chen, Q Bi - Mathematics, 2023 - mdpi.com
As a kind of dynamical system with a particular nonlinear structure, a multi-time scale
nonlinear system is one of the essential directions of the current development of nonlinear …

Critical parameters for the robust stabilization of the inverted pendulum with reaction delay: state feedback versus predictor feedback

BA Kovacs, T Insperger - International Journal of Robust and …, 2022 - Wiley Online Library
The critical length that limits stabilizability for delayed proportional‐derivative‐acceleration
(PDA) feedback and for predictor feedback (PF) is analyzed for the inverted pendulum …