Dynamics and variational inequalities
- Authors: Antipin A.S.1, Jaćimović V.2, Jaćimović M.2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”
- Faculty of Mathematics and Natural Sciences
- Issue: Vol 57, No 5 (2017)
- Pages: 784-801
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179129
- DOI: https://doi.org/10.1134/S0965542517050013
- ID: 179129
Cite item
Abstract
A terminal control problem with linear dynamics and a boundary condition given implicitly in the form of a solution of a variational inequality is considered. In the general control theory, this problem belongs to the class of stabilization problems. A saddle-point method of the extragradient type is proposed for its solution. The method is proved to converge with respect to all components of the solution, i.e., with respect to controls, phase and adjoint trajectories, and the finite-dimensional variables of the terminal problem.
About the authors
A. S. Antipin
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”
Author for correspondence.
Email: asantip@yandex.ru
Russian Federation, Moscow, 119333
V. Jaćimović
Faculty of Mathematics and Natural Sciences
Email: asantip@yandex.ru
Montenegro, Podgorica
M. Jaćimović
Faculty of Mathematics and Natural Sciences
Email: asantip@yandex.ru
Montenegro, Podgorica
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