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Spectrum analysis of LTI continuous-time systems with constant delays: A literature overview of some recent results
In recent decades, increasingly intensive research attention has been given to dynamical
systems containing delays and those affected by the after-effect phenomenon. Such …
systems containing delays and those affected by the after-effect phenomenon. Such …
PID control design for first-order delay systems via MID pole placement: Performance vs. robustness
The PID control is favored in controlling industrial processes for its ease of implementation.
In this paper we present an analytical study, with an aim at stability robustness, tracking …
In this paper we present an analytical study, with an aim at stability robustness, tracking …
Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design
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 …
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
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 …
systems using multiplicity‐induced‐dominancy‐based controller design in the presence of …
Stability analysis of systems with delay-dependent coefficients: An overview
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 …
coefficients. Such systems are frequently encountered in various scientific and engineering …
On controllers performance for a class of time-delay systems: Maximum decay rate
G Oaxaca-Adams, R Villafuerte-Segura - Automatica, 2023 - Elsevier
This paper states some results aiming at finding the parameters of a controller that provides
the maximum decay rate of the closed-loop response for a linear time-invariant time-delay …
the maximum decay rate of the closed-loop response for a linear time-invariant time-delay …
Prescribing transport equation solution's decay via multiplicity manifold and autoregressive boundary control
This article addresses the boundary control problem of the transport equation. Namely, we
propose a control method, which is merely a delayed output feedback relying on a partial …
propose a control method, which is merely a delayed output feedback relying on a partial …
Multiplicity-induced-dominancy for delay-differential equations of retarded type
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 …
conditions on its parameters guaranteeing exponential stability of solutions. Recent works …
Real spectral values coexistence and their effect on the stability of time-delay systems: Vandermonde matrices and exponential decay
This work exploits structural properties of a class of functional Vandermonde matrices to
emphasize some qualitative properties of a class of linear autonomous nth order differential …
emphasize some qualitative properties of a class of linear autonomous nth order differential …
Multiplicity-induced-dominancy for delay systems: Comprehensive examples in the scalar neutral case
This article focuses on the characterization of a particular spectral property called Multiplicity-
induced-dominancy applying for linear dynamical systems described by delay-differential …
induced-dominancy applying for linear dynamical systems described by delay-differential …