## Title data

Leugering, Günter ; Rathmann, Wigand:

**On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli and Rayleigh-beams.**

*In:* Chen, Goong ; Lasiecka, Irena ; Zhou, Jianxin
(ed.):
Control of nonlinear distributed parameter systems. -
New York
: Dekker
,
2001
. - pp. 199-232
. - (Lecture Notes in Pure and Applied Mathematics
; 218
)

ISBN 0-8247-0564-5

Review: |

## Abstract in another language

We consider a network of Euler-Bernoulli and Rayleigh beams. For the sake of simplicity, we concentrate on scalar displacements coupled to torsion. We show that the model is well-posed in appropriate ramification spaces. We then describe a dynamic nonoverlapping domain decomposition procedure of the network into its individual edges and provide a proof of convergence. Further, we formulate typical optimal control problems, related to exact controllability. The optimality system is solved using conjugate gradients. Various numerical examples illustrate the method.

## Further data

Item Type: | Article in a book |
---|---|

Refereed: | Yes |

Keywords: | Network models; Euler-Bernoulli- and Rayleigh-beams; Nonoverlapping domain decomposition procedure; Convergence; Optimal control |

Subject classification: | Mathematics Subject Classification Code: 49M27 (74K10 74M05 93C20) |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science 500 Science > 500 Natural sciences 500 Science > 510 Mathematics |

Date Deposited: | 23 Feb 2021 09:59 |

Last Modified: | 23 Mar 2021 09:13 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63329 |