Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Fueyo, Sébastien"'
Autor:
Fueyo, Sébastien
Based on an algebraic point of view and the realization theory developed by Y. Yamamoto, the present paper states a necessary and sufficient criterion, given in the frequency domain, for the $L^q$ approximate controllability in finite time of linear
Externí odkaz:
http://arxiv.org/abs/2409.13777
Autor:
Fueyo, Sébastien
The paper investigates the reachability in finite time of pseudo-rational systems of order zero. A bound on the minimal time of reachability is obtained and the reachability property for integrable functions is characterized in terms of a left-coprim
Externí odkaz:
http://arxiv.org/abs/2409.12767
Autor:
Fueyo, Sebastien, Chitour, Yacine
This paper proves a corona theorem for the algebra of Radon measures compactly supported in $\mathbb{R}_-$ and this result is applied to provide a necessary and sufficient Hautus--type frequency criterion for the $L^1$ exact controllability of linear
Externí odkaz:
http://arxiv.org/abs/2311.15915
Publikováno v:
J. Integral Equations Applications 36 (4), pp. 407-418, 2024
This note states and proves an integral representation formula of the ``variation-of-constant'' type for continuous solutions of linear non-autonomous difference delay systems, in terms of a Lebesgue-Stieltjes integral involving a fundamental solutio
Externí odkaz:
http://arxiv.org/abs/2311.09842
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-dimensional realization theory, we obtain both necessary and sufficie
Externí odkaz:
http://arxiv.org/abs/2310.04088
Publikováno v:
Discrete Contin. Dyn. Syst., 49(3):3306--3337, 2023
The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time $t$ is obtained as a linear combination of the control evaluated at time $t$ and of the state evaluat
Externí odkaz:
http://arxiv.org/abs/2210.13590
Autor:
Fueyo, Sébastien, Mazanti, Guilherme, Boussaada, Islam, Chitour, Yacine, Niculescu, Silviu-Iulian
Publikováno v:
IMA Journal of Mathematical Control and Information, 2023
This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing links between the delays and the maximal multiplicity of the characteri
Externí odkaz:
http://arxiv.org/abs/2204.12821
This paper deals with the stability of linear periodic difference delay systems, where the value at time $t$ of a solution is a linear combination with periodic coefficients of its values at finitely many delayed instants $t-\tau_1,\ldots,t-\tau_N$.
Externí odkaz:
http://arxiv.org/abs/2201.12066
Publikováno v:
In Systems & Control Letters August 2024 190
Autor:
Fueyo, Sébastien, Mazanti, Guilherme, Boussaada, Islam, Chitour, Yacine, Niculescu, Silviu-Iulian
Publikováno v:
16th IFAC Workshop on Time Delay Systems (IFAC TDS 2021). IFAC-PapersOnLine, 54(18):108--114, 2021
It has been observed in recent works that, for several classes of linear time-invariant time-delay systems of retarded or neutral type with a single delay, if a root of its characteristic equation attains its maximal multiplicity, then this root is t
Externí odkaz:
http://arxiv.org/abs/2107.11348