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Greedy Algorithm for Parameter Dependent Lyapunov Equations : Application to Control Problems (CROSBI ID 680575)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Lazar, Martin ; Weston, Jerome Greedy Algorithm for Parameter Dependent Lyapunov Equations : Application to Control Problems. 2019. str. 1-1

Podaci o odgovornosti

Lazar, Martin ; Weston, Jerome

engleski

Greedy Algorithm for Parameter Dependent Lyapunov Equations : Application to Control Problems

We adapt and apply greedy methods to approximate in an efficient way the solutions to parameter dependent, operator Algebraic Lyapunov equations. The algorithm identifies the most distinguished values of parameters (offline part) so to better describe or approximate the whole manifold of solutions (online part). The results are applied to control problems for dissipative PDE-s depending on a parameter, where the controllability Gramian is approximated by the solution to corresponding Lyapunov equation. The algorithm provides an approximating space for the Gramian operators which is independent of particular control data (initial and target state). This allows for a robust approach which is not datum sensitive. Both the computational cost and the numerical experiments confirm the efficiency of the method. Methodology and numerical results will be discussed.

Lyaounov equatio :, greedy algorithm : infinite dimensional setting ; Gramian operators

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Podaci o prilogu

1-1.

2019.

objavljeno

Podaci o matičnoj publikaciji

Podaci o skupu

6th Najman Conference on Spectral Theory and Differential Equations

predavanje

08.09.2019-13.09.2019

Sveti Martin na Muri, Hrvatska

Povezanost rada

Matematika