Geodesic
Guaranteed controls for the control problem of a linear set-valued system
Filomat, Tome 37 (2023) no. 22, p. 7685

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DOI

The article considers the control linear differential equation with Hukuhara derivative and the problem of moving a set-valued object to a target set, that is, when at some point in time the cross section of a set-valued solution of the system is contained in the target set. The solvability conditions for this problem are obtained, as well as the time and controls that guarantee the fulfillment of the termination process condition. It is shown that in some cases the given time and controls will be optimal. The results of the article are illustrated by model examples.
DOI : 10.2298/FIL2322685K
Classification : 49J21, 49N05, 49J53
Keywords: Control problem, Set-valued mapping, Hukuhara derivative, Singular number 
Tatyana A Komleva; Irina V Molchanyuk; Andrej V Plotnikov; Natalia V Skripnik. Guaranteed controls for the control problem of a linear set-valued system. Filomat, Tome 37 (2023) no. 22, p. 7685 . doi: 10.2298/FIL2322685K
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     title = {Guaranteed controls for the control problem of a linear set-valued system},
     journal = {Filomat},
     pages = {7685 },
     year = {2023},
     volume = {37},
     number = {22},
     doi = {10.2298/FIL2322685K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322685K/}
}
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