Koba Gelashvili
abstract:
Using compact expressions for optimal and varied trajectories based on the
representation of the Cauchy problem solution as evolution system of functions
of initial values, a simple analytic proof of Pontryagin's Maximum Principle for
fixed endpoints is obtained. Some non-standard problems of optimal control
theory are considered shortly, too.
Mathematics Subject Classification: 49K15.
Key words and phrases: Evolution system, Pontryagin's Maximum Principle, variable control area, admissible controls with uniformly limited number of points of discontinuity.