Geodesic
Output optimal control of infinite-dimensional hyperbolic bilinear systems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Optimal control, Tome 178 (2020), pp. 77-90

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In this paper, we examine a regional optimal control problem for a class of infinite-dimensional hyperbolic bilinear systems evolving on a spatial domain $\Omega$. We characterize an optimal control that minimizes a cost functional, which is composed of the gap between the desired state and final state using optimality conditions. The approach is successfully illustrated by simulations.
Keywords: hyperbolic system, infinite-dimensional bilinear system, distributed optimal control, regional controllability. 
@article{INTO_2020_178_a5,
     author = {E. Zerrik and A. El Kabouss and R. Larhrissi},
     title = {Output optimal control of infinite-dimensional hyperbolic bilinear systems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {77--90},
     publisher = {mathdoc},
     volume = {178},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_178_a5/}
}
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E. Zerrik; A. El Kabouss; R. Larhrissi. Output optimal control of infinite-dimensional hyperbolic bilinear systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Optimal control, Tome 178 (2020), pp. 77-90. http://geodesic.mathdoc.fr/item/INTO_2020_178_a5/