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20202022
most citedMultiplicity-induced-dominancy for delay-differential equations of retarded type

75 citations · 189 across the 14 of their papers we have counts for

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math.OC2020★ 18 cited

Analysis and Design of Strongly Stabilizing PID Controllers for Time-Delay Systems

Pieter Appeltans, Silviu-Iulian Niculescu, Wim Michiels

This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of t…

math.OC2020★ 21 cited

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…

math.OC2020★ 1 cited

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…

math.OC2020

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…

math.DS2020★ 75 cited

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

Guilherme Mazanti, Islam Boussaada, Silviu-Iulian Niculescu

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 hav…

math.OC2020★ 14 cited

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…