Abstract <p>The problem of controlling groups of moving objects is considered. Each group is composed of simple objects of control and moves as a single (composite) control object. During the movement, each group can be divided into subgroups or, conversely, connected with other groups. In this case, the dynamic capabilities of the group change, since they depend on its composition. The initial and final states of each simple object are specified. The problem of the fastest achievement of all final states, i.e., the problem of group speed (responsiveness), is solved.</p>

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Speed of Groups of Moving Objects with Variable Composition

  • A. S. Bortakovskii

摘要

Abstract

The problem of controlling groups of moving objects is considered. Each group is composed of simple objects of control and moves as a single (composite) control object. During the movement, each group can be divided into subgroups or, conversely, connected with other groups. In this case, the dynamic capabilities of the group change, since they depend on its composition. The initial and final states of each simple object are specified. The problem of the fastest achievement of all final states, i.e., the problem of group speed (responsiveness), is solved.