Eine nichtglatte aufgabe der optimalen steuernng mit randkontaktbedingungen

Abstract

This paper is concerned with a nonsmooth optimal control problem in which the functionals on the right-hand sides of the differential equations describing the controlled system and the minimizing functional are quasidifferentiable. In addition to boundary conditions contact conditions are also considered. As a result we obtain a necessary optimality condition which generalizes the Pontryagin maximum principle.

AMS I980 Subject Classifications:

• Primary: 49 B 10
• Secondary: 34 B 10

Keywords:

• Nonsmooth optimal control problems
• quasidifferentiable functions
• necessary optimality conditions
• Maximum principle
• multipoint boundary value problems