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Greedy control (CROSBI ID 636767)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Lazar, Martin ; Zuazua, Enrique Greedy control // 6th Croatian Mathematical Congress, Zagreb, 14-17-06.2016.. 2016. str. 1-1

Podaci o odgovornosti

Lazar, Martin ; Zuazua, Enrique

engleski

Greedy control

Greedy control represents a new notion in the control of parameter dependent systems. It is based on adaptation of (weak) greedy algorithms, developed and explored so far for constructing an approximative solutions to parametric PDEs. The idea is to identify the most distinguished parameter values describing the whole range of admissible controls. The algorithm consists of the (possible expensive) offline part devoted to the selection of parameter representatives and the online one enabling a fast computation of an approximative control for a given value of the parameter within a prescribed accuracy. Our results lead to optimal approximation rates expressed in terms of Kolmogorov widths. These results are applied to the approximate control of finite-difference approximations of the heat and the wave equation. The numerical experiments confirm the efficiency of the methods and show that the number of weak-greedy samplings that are required is particularly low when dealing with heat-like equations, because of the intrinsic dissipativity that the model introduces for high frequencies.

parametrised ODEs and PDEs ; greedy control ; weak-greedy ; heat equation ; wave equation ; finite-differences

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Podaci o prilogu

1-1.

2016.

objavljeno

Podaci o matičnoj publikaciji

6th Croatian Mathematical Congress, Zagreb, 14-17-06.2016.

Podaci o skupu

6th Croatian mathematical congress

predavanje

14.06.2016-17.06.2016

Zagreb, Hrvatska

Povezanost rada

Matematika