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Journal articles
Optimal feedback control of undamped wave equations by solving a HJB equation
Abstract : An optimal fi nite-time horizon feedback control problem for (semi linear) wave equations is presented. The feedback law can be derived from the dynamic programming principle and requires to solve the evolutionary Hamilton-Jacobi-Bellman (HJB) equation. Classical discretization methods based on nite elements lead to approximated problems governed by ODEs in high dimensional space which makes infeasible the numerical resolution by HJB approach. In the present paper, an approximation based on spectral elements is used to discretize the wave equation. The e ffect of noise is considered and numerical simulations are presented to show the relevance of the approach.
Cited literature [40 references]
https://hal.archives-ouvertes.fr/hal-00924089
Contributor : Hasnaa Zidani Connect in order to contact the contributor
Submitted on : Monday, January 6, 2014 - 12:12:14 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:06 PM
Long-term archiving on: : Thursday, April 10, 2014 - 4:30:19 PM
Contributor : Hasnaa Zidani Connect in order to contact the contributor
Submitted on : Monday, January 6, 2014 - 12:12:14 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:06 PM
Long-term archiving on: : Thursday, April 10, 2014 - 4:30:19 PM
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KroenerKunischZidani2013v1.pdf
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