Automation and Remote Control

, Volume 79, Issue 4, pp 594–603 | Cite as

The Control Problem for Stage-by-Stage Changing Linear Systems of Loaded Differential Equations

Linear Systems
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Abstract

We consider the control problem for stage-by-stage changing linear differential equations and the optimal control problem with a quality criterion defined for the entire time interval. We formulate necessary and sufficient conditions for complete controllability and the existence of a program control and motion. We construct an explicit form of the control action for the control problem and propose a method for solving the optimal control problem. We give a solution of the control problem for a specific loaded system.

Keywords

stage-by-stage changing systems loaded differential equations control complete controllability 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Yerevan State UniversityYerevanArmenia
  2. 2.Institute of Mechanics of the National Academy of Sciences of ArmeniaYerevanArmenia

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