Geodesic
Hamiltonian systems for control reconstruction problems
Minimax theory and its applications, Tome 5 (2020) no. 2
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We present and justify a new algorithm for solving dynamic reconstruction problems. The algorithm is based on solutions of Hamiltonian systems that arise in auxiliary variational problems with concave-convex discrepancy functionals. Modifications of Hamiltonian systems, improving the effectiveness of the new algorithm, are suggested and justified. Results of numerical solutionof a reconstruction problem in medicine are reported.
Mots-clés : Dynamic reconstruction problems, convex-concave discrepancy, variational problems, Hamiltonian systems 
@article{MTA_2020_5_2_a15,
     author = {Nina N. Subbotina and Evgenii A. Krupennikov},
     title = {Hamiltonian systems for control reconstruction problems},
     journal = {Minimax theory and its applications},
     year = {2020},
     volume = {5},
     number = {2},
     zbl = {1452.65131},
     url = {http://geodesic.mathdoc.fr/item/MTA_2020_5_2_a15/}
}
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AU  - Evgenii A. Krupennikov
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JO  - Minimax theory and its applications
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Nina N. Subbotina; Evgenii A. Krupennikov. Hamiltonian systems for control reconstruction problems. Minimax theory and its applications, Tome 5 (2020) no. 2. http://geodesic.mathdoc.fr/item/MTA_2020_5_2_a15/