22 citations · 36 across the 8 of their papers we have counts for
10 papers
Overcoming slow Kolmogorov width decay in parametric optimal control via neural network surrogates
Hendrik Kleikamp, Martin Lazar, Juan Ricardo Muñoz
In this paper we deal with parametric, linear-quadratic optimal control problems in which the solution can be uniquely characterized by the optimal final time adjoint state. As a m…
Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems
Hendrik Kleikamp, Martin Lazar, Cesare Molinari
We consider parametrized linear-quadratic optimal control problems and provide their online-efficient solutions by combining greedy reduced basis methods and machine learning algor…
Greedy search of optimal approximate solutions
Martin Lazar, Enrique Zuazua
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…
Optimal control of parabolic equations -- a spectral calculus based approach
Luka Grubišić, Martin Lazar, Ivica Nakić +1
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 de…
Greedy controllability of finite dimensional linear systems
Martin Lazar, Enrique Zuazua
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…
Localisation principle for one-scale H-measures
Nenad Antonić, Marko Erceg, Martin Lazar
Microlocal defect functionals (H-measures, H-distributions, semiclassical measures, etc.) are objects which determine, in some sense, the lack of strong compactness for weakly conv…
Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation
Martin Lazar
A method is developed for analysing asymptotic behaviour of terms involving an arbitrary integer order powers of L p functions by means of H-measures. It is applied to the small am…
Stability of Observations of Partial Differential Equations under Uncertain Perturbations
Martin Lazar
We analyse stability of observability estimates for solutions to wave and Scr\" odinger equations subjected to additive perturbations. The paper generalises the recent averaged obs…
On the velocity averaging for equations with optimal heterogeneous rough coefficients
Martin Lazar, Darko Mitrovic
Assume that is a sequence of solutions to heterogeneous equations with rough coefficients and fractional derivatives, weakly converging to zero in , wi…
Velocity averaging -- a general framework
Martin Lazar, Darko Mitrovic
We prove that the sequence of averaged quantities $\int_{\R^m}u_n(\mx,\msnop)$ $ρ(\msnop)d\msnop$, is strongly precompact in $\Ldl\Rd$, where $ρ\in \Ldc{\R^m}$, and $u_n\in \Ld{\R^…