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

This book presents new computational tools for the ℋ∞ control of distributed parameter
systems. Transfer functions are considered as input-output descriptions for the plants to be …

In biological system models, gene expression levels are typically described by regulatory
feedback mechanisms. Many studies of gene network models focus on dynamical …

In this paper, we develop a sufficient stability condition for a class of coupled first-order
linear hyperbolic partial differential equations (PDEs) with constant coefficients that appear …

This paper presents a brief review on the current applications and perspectives on the
stability of complex dynamical systems, with an emphasis on three main classes of systems …

This article presents proposals for the design of reduced-order controllers for high-
dimensional dynamical systems. The objective is to develop efficient control strategies that …

It is shown that strictly proper neutral time delay systems having at least one asymptotic pole
chain converging to a vertical line Re (s)= σ> 0 cannot be stabilized by a proper controller. A …

YALTA is a Matlab toolbox dedicated to the H∞-stability analysis of classical and fractional
systems with commensurate delays given by their transfer function, whose binary can be …

Fractional differential equations with delays are ubiquitous in physical systems, a recent
example being time-domain impedance boundary conditions in aeroacoustics. This work …

This paper proposes a way to efficiently implement stabilizing controllers for delay systems
of the retarded type. We indeed choose a particular controller (central controller) in the set of …