One control problem of a pencil of trajectories


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Abstract

A linear control problemwith a nonsingleton initial set is dealt with. For this problem,we consider the problem of transforming this initial set along trajectories of a linear controlled system into some fixed terminal set in a finite time using a single control. Various aspects of this control problem are studied using the machinery of support functions.

About the authors

M. S. Nikolskii

Steklov Mathematical Institute; Faculty of Computational Mathematics and Cybernetics

Author for correspondence.
Email: mni@mi.ras.ru
Russian Federation, Moscow, 119991; Moscow, 119234

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