32 citations · 108 across the 12 of their papers we have counts for
14 papers
Control, stability, and stabilization of some classes of linear time-delay systems
Guilherme Mazanti
This monograph presents a selection of the author's recent works on the control, stability, and stabilization of some classes of linear time-delay systems. After a detailed introdu…
Exact controllability and rapid stabilization of linear difference delay equations and one-dimensional hyperbolic systems
Yacine Chitour, Sébastien Fueyo, Pierre Lissy +1
This paper addresses exact controllability and rapid stabilization issues for linear difference delay systems with finitely many pointwise delays. We first establish a criterion fo…
Strong Stability of Linear Functional Equations with Distributed Delays
Yacine Chitour, Felipe Gonçalves Netto, Guilherme Mazanti
This paper considers linear functional equations on with distributed delays defined by matrix-valued measures of bounded variation. More precisely, we are interested…
Well-posedness and asymptotic behavior of difference equations with a time-dependent delay and applications
Guilherme Mazanti, Jaqueline G. Mesquita
In this paper, we investigate the well-posedness and asymptotic behavior of difference equations of the form , , where the unknown function take…
Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems
Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti +1
This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite…
Frequency domain approach for the stability analysis of a fast hyperbolic PDE coupled with a slow ODE
Gonzalo Arias, Swann Marx, Guilherme Mazanti
This paper deals with the exponential stability of systems made of a hyperbolic PDE coupled with an ODE with different time scales, the dynamics of the PDE being much faster than t…
Hautus--Yamamoto criteria for approximate and exact controllability of linear difference delay equations
Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti +1
The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time is obtained as a linear com…
On the gap between deterministic and probabilistic Lyapunov exponents for continuous-time linear systems
Yacine Chitour, Guilherme Mazanti, Pierre Monmarché +1
Consider a non-autonomous continuous-time linear system in which the time-dependent matrix determining the dynamics is piecewise constant and takes finitely many values $A_1, \dots…
One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates
Yacine Chitour, Swann Marx, Guilherme Mazanti
This paper is concerned with the analysis of a one dimensional wave equation on with a Dirichlet condition at and a damping acting at which ta…
On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
Given a discrete-time linear switched system associated with a finite set of matrices, we consider the measures of its asymptotic behavior given by, on…
Approximate and exact controllability of linear difference equations
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
In this paper, we study approximate and exact controllability of the linear difference equation in , with $x(t) \in \mathbb C^…
Relative controllability of linear difference equations
Guilherme Mazanti
In this paper, we study the relative controllability of linear difference equations with multiple delays in the state by using a suitable formula for the solutions of such systems…
Stability of non-autonomous difference equations with applications to transport and wave propagation on networks
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
In this paper, we address the stability of transport systems and wave propagation on networks with time-varying parameters. We do so by reformulating these systems as non-autonomou…
Persistently damped transport on a network of circles
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
In this paper we address the exponential stability of a system of transport equations with intermittent damping on a network of circles intersecting at a single point $O…