Geodesic
Optimal Control Problems for Linear Degenerate Fractional Equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 72-83

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Optimal control problems for a linear degenerate evolution equation that is not solvable with respect to the fractional Gerasimov–Caputo derivative are investigated in this paper. Solvability conditions for distributed control problems with various quality functionals are obtained. Abstract results is are applied to the control problem for the system of equations of gravitational-gyroscopic waves.
Keywords: optimal control, degenerate evolution equation, fractional differential equation, Caputo derivative. 
@article{INTO_2018_149_a8,
     author = {M. V. Plekhanova},
     title = {Optimal {Control} {Problems} for {Linear} {Degenerate} {Fractional} {Equations}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {72--83},
     publisher = {mathdoc},
     volume = {149},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_149_a8/}
}
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M. V. Plekhanova. Optimal Control Problems for Linear Degenerate Fractional Equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 72-83. http://geodesic.mathdoc.fr/item/INTO_2018_149_a8/