On optimal choice of areas for application of control actions which are located separately

This paper which is an extension of [1] is concerned with optimal choice of areas and points for application of optimal, separately located continuous signals in certain linearly distributed systems. In a general theoretical statement the problem is reduced to approximation of a certain, quite continuous operator by using a family of finite dimensional linear operators and solved by using a theorem from spectral theory [2,3] . An effective solution method is also given which follows from a theorem in Grassman's manifold theory [4]. For illustration an approximate numerical computation is given for optimal choice of points where optimal loads are to be applied to a string.