Open AccessThe method of extremal shift in control problems for evolution variational inequalities under disturbances
Author(s) -
В. И. Максимов
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021048
Subject(s) - variational inequality , mathematics , control (management) , inequality , action (physics) , optimal control , mathematical optimization , mathematical analysis , computer science , physics , artificial intelligence , quantum mechanics
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.