# American Institute of Mathematical Sciences

doi: 10.3934/eect.2021048
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## The method of extremal shift in control problems for evolution variational inequalities under disturbances

 Krasovskii Institute of Mathematics and Mechanics of UB RAS, Yekaterinburg 620990, Russia

Received  April 2021 Revised  June 2021 Early access August 2021

The problems of designing feedback control algorithms for parabolic and hyperbolic variational inequalities are considered. These algorithms should preserve given properties of solutions of inequalities under the action of unknown disturbances. Solving algorithms that are stable with respect to informational noises are constructed. The algorithms are based on the method of extremal shift well-known in the theory of guaranteed control.

Citation: Vyacheslav Maksimov. The method of extremal shift in control problems for evolution variational inequalities under disturbances. Evolution Equations and Control Theory, doi: 10.3934/eect.2021048
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