B. M. Miller, E. Ya. Rubinovich, “Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations”, Avtomat. i Telemekh., 2013, Issue 12,Pages <nobr>56

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

B. M. Miller^ab, E. Ya. Rubinovich^c

^a Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
^b School of Mathematical Sciences, Monash University, Victoria, Australia
^c Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

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.

Presented by the member of Editorial Board: V. I. Gurman

Received: 04.02.2013