Abstract.

Problems of optimal control of movable lumped sources in distributed systems when controls belong to the classes of impulsive, piecewise constant, and Heaviside functions are considered in the paper. The optimal control problems are investigated for various cases, according to the position of the sources. Necessary optimality conditions are obtained for optimal control problems considered on all these classes. Constructive analytical formulas for the gradient of a functional in the space of optimized parameters are derived. The results of some numerical experiments are given.

Keywords:

impulsive control, piecewise constant control, Heaviside function, gradient of func- tional, movable lumped sources.