Journal of Automation and Information Sciences

Optimal Control Problems of Sources in Distributed Systems on the Classes of Impulsive, Piecewise Constant and Heaviside Functions

RÉSUMÉ

Problems of optimal control of movable lumped sources in distributed systems when controls are determined by impulsive piecewise constant and Heaviside functions are considered. The optimal control problems are investigated for various cases according to the position of the sources. The necessary conditions of optimality are obtained with respect to all considered problems of optimal control on these classes, which consists in deriving constructive analytical formulas for the gradient of a functional in the space of optimized parameters. The results of some numerical experiments are also given.