Geodesic
Stabilization of coupled linear systems via bounded distributed feedbacks
The Bulletin of Irkutsk State University. Series Mathematics, Tome 30 (2019), pp. 31-44

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This article deals with a stabilization problem for a team of linear interconnected systems via bounded feedbacks. Effective approaches to stabilization of constrained systems from model predictive control theory are developed for the decentralized case when each system of the group is controlled by its local controller. We propose formulations of local optimal control problems and an algorithm based on them that constructs a distributed feedback guaranteeing asymptotic stability of the group.
Keywords: stabilization, feedback, distributed control. 
@article{IIGUM_2019_30_a2,
     author = {N. M. Dmitruk},
     title = {Stabilization of coupled linear systems via bounded distributed feedbacks},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {31--44},
     publisher = {mathdoc},
     volume = {30},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2019_30_a2/}
}
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N. M. Dmitruk. Stabilization of coupled linear systems via bounded distributed feedbacks. The Bulletin of Irkutsk State University. Series Mathematics, Tome 30 (2019), pp. 31-44. http://geodesic.mathdoc.fr/item/IIGUM_2019_30_a2/