Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations

Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations

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Article ID: iaor2014123
Volume: 74
Issue: 12
Start Page Number: 1969
End Page Number: 2006
Publication Date: Dec 2013
Journal: Automation and Remote Control
Authors: ,
Keywords: optimization
Abstract:

Consideration was given to the problems of variational calculus and optimal control admitting impulsive controls and, correspondingly, discontinuous solutions. The evolution of the notion of singular space‐time transformation beginning from the problem of classical variational calculus and ending with the problems of optimal control at the phase of impact was shown.

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