Efficient numerical solution of the LQR-problem for the heat equation-Reference-Cited by-同舟云学术

Efficient numerical solution of the LQR-problem for the heat equation

Published:2004-12 Issue:1 Volume:4 Page:648-649
ISSN:1617-7061
Container-title:PAMM
language:en
Short-container-title:Proc. Appl. Math. Mech.

Author:

Saak Jens,Benner Peter

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Reference5 articles.

1. and Fast solution of optimal control problems in the selective cooling of steel, Z. Angew. Math. Mech., 2001, vol. 81 nr. 7 p. 447-456

2. and The Linear Regulator Problem for Parabolic Systems, SIAM J. Cont. Optim. 1984, vol.22 p. 684-698

3. The Riccati integral equation for optimal control problems on Hilbert spaces, SIAM J. Cont. Optim. 1979, vol. 17 p. 537-565

4. and ALBERT: An adaptive hierarchical finite element toolbox, Preprint 06/2000 / Institut für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, 2000

5. LYAPACK: A MATLAB Toolbox for Large Lyapunov and Riccati Equation, Model Reduction Problems, and Linear-Quadratic Optimal Control Problems, SFB 393 Fakultät für Mathematik, TU Chemnitz, 1999

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