Geodesic
Regional controllability of distributed bilinear systems
ESAIM. Proceedings, Tome 49 (2015), pp. 130-157.

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In this paper, we consider the problem of optimal regional controllability of a distributed bilinear system evolving on Ω. The question is to obtain a control with minimum energy that drives such a system from an initial state to a final state close to a desired one in finite time, only on a subregion ω of Ω. Our purpose is to prove that a regional optimal control exists and characterized in both bounded and unbounded cases. The obtained results are successfully illustrated by simulations. 
@article{EP_2015_49_a12,
     author = {E.H. Zerrik and R. Larhrissi},
     title = {Regional controllability of distributed bilinear systems},
     journal = {ESAIM. Proceedings},
     pages = {130--157},
     publisher = {mathdoc},
     volume = {49},
     year = {2015},
     doi = {10.1051/proc/201549011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201549011/}
}
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E.H. Zerrik; R. Larhrissi. Regional controllability of distributed bilinear systems. ESAIM. Proceedings, Tome 49 (2015), pp. 130-157. doi : 10.1051/proc/201549011. http://geodesic.mathdoc.fr/articles/10.1051/proc/201549011/

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