In recent decades, increasingly intensive research attention has been given to dynamical
systems containing delays and those affected by the after-effect phenomenon. Such …

Two intrinsic component of machine tool chatter modeling is regenerative time delay and
parametric forcing. The corresponding governing equations are therefore given in the form …

Dissipative estimator (observer) design for continuous time-delay systems poses a
significant challenge when multiple pointwise and general distributed delays (DDs) are …

As widely known, the basic reproduction number plays a key role in weighing birth/infection
and death/recovery processes in several models of population dynamics. In this general …

We apply the pseudospectral discretization approach to nonlinear delay models described
by delay differential equations, renewal equations, or systems of coupled renewal equations …

This work presents a theoretical framework for the safety‐critical control of time delay
systems. The theory of control barrier functions, that provides formal safety guarantees for …

Regenerative chatter vibrations arising during machining operations are a severe problem
affecting the manufacturing production of high-precision mechanical components. A …

We contribute a full analysis of theoretical and numerical aspects of the collocation
approach recently proposed by some of the authors to compute the basic reproduction …

This paper focuses on learning the dynamics of time delay systems from trajectory data and
proposes the use of the maximal Lyapunov exponent (MLE) as an indicator to describe the …

This paper examines the problem of stabilizing linear distributed delay systems with
nonlinear distributed delay kernels and dissipativity constraints. Specifically, the nonlinear …