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20142026
most citedStability of non-autonomous difference equations with applications to transport and wave propagation on networks

32 citations · 108 across the 12 of their papers we have counts for

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8 papers · 1 filter

math.OC2026

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…

math.OC2026

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…

math.OC2023

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…

math.OC2022★ 1 cited

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…

math.OC2021★ 3 cited

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…

math.OC2018★ 7 cited

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…

math.OC2017★ 11 cited

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^…

math.OC2016★ 20 cited

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…