Zobrazeno 1 - 10
of 157
pro vyhledávání: '"Lazar Martin"'
Autor:
Gugat Martin, Lazar Martin
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 33, Iss 3, Pp 429-438 (2023)
We show a turnpike result for problems of optimal control with possibly nonlinear systems as well as pointwise-in-time state and control constraints. The objective functional is of integral type and contains a tracking term which penalizes the distan
Externí odkaz:
https://doaj.org/article/65e9a5b3f24543ce998ae662aa0427a3
Our main contribution in this article is the achievement of the turnpike property in its integral and exponential forms for parameter-dependent systems with averaged observations in the cost functional. Namely, under suitable assumptions with respect
Externí odkaz:
http://arxiv.org/abs/2404.17455
We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algorithms. To this end, we first extend the greedy control algorithm, whic
Externí odkaz:
http://arxiv.org/abs/2307.15590
Autor:
Lazar, Martin, Zuazua, Enrique
In this paper we develop a procedure to deal with a family of parameter-dependent ill-posed problems, for which the exact solution in general does not exist. The original problems are relaxed by considering corresponding approximate ones, whose optim
Externí odkaz:
http://arxiv.org/abs/2202.00098
In this paper we consider a constrained parabolic optimal control problem. The cost functional is quadratic and it combines the distance of the trajectory of the system from the desired evolution profile together with the cost of a control. The const
Externí odkaz:
http://arxiv.org/abs/2109.13783
Autor:
Lazar, Martin, Lohéac, Jérôme
Publikováno v:
In Handbook of Numerical Analysis 2022 23:265-306
Autor:
Lazar, Martin, Zuazua, Enrique
Publikováno v:
Automatica, Volume 74, December 2016, Pages 327-340
We analyse the problem of controllability for parameter-dependent linear finite-dimensional systems. The goal is to identify the most distinguished realisations of those parameters so to better describe or approximate the whole range of controls. We
Externí odkaz:
http://arxiv.org/abs/1601.02817
Microlocal defect functionals (H-measures, H-distributions, semiclassical measures, etc.) are objects which determine, in some sense, the lack of strong compactness for weakly convergent ${\rm L}^p$ sequences. Recently, Luc Tartar introduced one-scal
Externí odkaz:
http://arxiv.org/abs/1504.03956