Article Contents

2022, Volume 11, Issue 4: 1373-1398. Doi: 10.3934/eect.2021048

This issue Previous Article Solution stability to parametric distributed optimal control problems with finite unilateral constraints Next Article Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems

The method of extremal shift in control problems for evolution variational inequalities under disturbances

Vyacheslav Maksimov

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

Received: April 2021

Revised: June 2021

Early access: August 2021

Published: August 2022

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Abstract

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.

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Mathematics Subject Classification: Primary: 49N45, 93B52.

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