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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2012 Issue 4, Pages 11–17 (Mi pu723)

This article is cited in 1 paper

Analysis and synthesis of control systems

Constructive method of investigation of linear compound systems control problems

V. R. Barseghyan

Yerevan State University

Abstract: The paper considers mathematical model of linear compound systems control, described by different differential equations on different time intervals and by some finite conditions for continuation of compound systems motion. Analytical form of compound systems motion is constructed; the properties of motion and geometrical structure of attainability domain are investigated. Necessary and sufficient conditions for complete controllability are formulated. The method of solution of compound systems control problem and the way of solution of optimal control problems are suggested. Existence conditions for program control and motion are formulated.

Keywords: compound systems, control, complete controllability, optimum control, attainability domain, continuity of movement condition.

UDC: 519.7



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