Geodesic
Asymptotically suboptimal control of weakly interconnected dynamical systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 10, pp. 1711-1724 Cet article a éte moissonné depuis la source Math-Net.Ru

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Optimal control problems for a group of systems with weak dynamical interconnections between its constituent subsystems are considered. A method for decentralized control is proposed which distributes the control actions between several controllers calculating in real time control inputs only for theirs subsystems based on the solution of the local optimal control problem. The local problem is solved by asymptotic methods that employ the representation of the weak interconnection by a small parameter. Combination of decentralized control and asymptotic methods allows to significantly reduce the dimension of the problems that have to be solved in the course of the control process. 
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N. M. Dmitruk; A. I. Kalinin. Asymptotically suboptimal control of weakly interconnected dynamical systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 10, pp. 1711-1724. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_10_a2/

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