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Automation and Remote Control

, Volume 62, Issue 8, pp 1263–1272 | Cite as

On the Signs of Pulses in the Problems of Optimal Control with Fixed Ends of the Trajectories

  • V. V. Tokarev
Article

Abstract

For the problems of optimal control with fixed boundary values of the phase coordinates, a scheme for establishing the signs of pulses in the procedure of the Pontryagin maximum principle was proposed. It lies in passing from the original optimization problem to an equivalent problem where the boundary conditions like equalities are replaced by inequalities that do not improve the performance index and putting down the transversality conditions. An example from the mechanics of space flight illustrated operability of this scheme.

Keywords

Boundary Condition Mechanical Engineer System Theory Maximum Principle Performance Index 
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Copyright information

© MAIK “Nauka/Interperiodica” 2001

Authors and Affiliations

  • V. V. Tokarev
    • 1
  1. 1.State University—Higher School of EconomicsMoscowRussia

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