Optimal control for a class of distributed parameter systems where the cost functions are norms

摘要

Some problem in optimal control, for a class of linear distributed parameter systems, are posed. By using a theorem of approximation theory, a maximum principle, which is applicable to these optimal control problems, is given. It is shown, that for the problems posed in this paper, this maximum principle is an extension of Butkovskii's maximum principle and of Demyanov and Rubinov's theorem.In addition, two optimal control problems, in linear lumped parameter systems areposed. For these problems it is shown that the maximum principle given in this paper, is an extension of Pontryagin's maximum principle.