Regularized extragradient method in multicriteria control problems with inaccurate data
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 approxim...
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| Veröffentlicht in: | Differential equations 2016-11, Vol.52 (11), p.1504-1516 |
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| container_title | Differential equations |
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| creator | Vasil’ev, F. P. Potapov, M. M. Artem’eva, L. A. |
| description | 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. |
| doi_str_mv | 10.1134/S0012266116110112 |
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| subjects | Approximation Control systems Convergence Criteria Derivatives Difference and Functional Equations Differential equations Dynamical systems Equilibrium Hilbert space Mathematical analysis Mathematics Mathematics and Statistics Numerical Methods Optimization Ordinary Differential Equations Partial Differential Equations Studies |
| title | Regularized extragradient method in multicriteria control problems with inaccurate data |
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