Regularized extragradient method in multicriteria control problems with inaccurate data
- Авторлар: Vasil’ev F.P.1, Potapov M.M.1, Artem’eva L.A.1
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Мекемелер:
- Lomonosov Moscow State University
- Шығарылым: Том 52, № 11 (2016)
- Беттер: 1504-1516
- Бөлім: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/154176
- DOI: https://doi.org/10.1134/S0012266116110112
- ID: 154176
Дәйексөз келтіру
Аннотация
The class of Hilbert space multicriteria optimization problems considered in the paper includes control problems for various dynamical systems with lumped as well as distributed parameters. An equilibrium point is sought under the assumption that the criteria and their derivatives are known approximately. We use a regularized extragradient method and prove its convergence. As a sample application of the general theory, we consider a control problem for a parabolic equation with two criteria.
Авторлар туралы
F. Vasil’ev
Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: vasiliev.fp@gmail.com
Ресей, Moscow
M. Potapov
Lomonosov Moscow State University
Email: vasiliev.fp@gmail.com
Ресей, Moscow
L. Artem’eva
Lomonosov Moscow State University
Email: vasiliev.fp@gmail.com
Ресей, Moscow
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