ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES

ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES

Haydar Akca    Vyacheslav I. Maksimov    

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Abstract

The problem of constructing a feedback control algorithm for a parabolic variational inequality is considered. This algorithm should provide tracking a prescribed trajectory by a solution of the given inequality. Two solving algorithms, which are stable with respect to informational noises, are designed. The algorithms are based on the method of extremal shift, which is known in the theory of guaranteed control.

Keywords

Tracking, parabolic inequalities.