Approximate controllability of an elastic system with generalized coordinates.(Russian)Zbl 1137.93359

A linear control system on a Hilbert space is considered. An estimate of solutions for that system is carried out if one applies the optimal control corresponding to a subsystem with finite number of degrees of freedom. A constructive approach for control design is proposed with an arbitrary (but finite) number of degrees of freedom. It is proved that the family of controllers considered solves the problem of approximate controllability for the infinite dimensional system.

MSC:

 93C25 Control/observation systems in abstract spaces 93B11 System structure simplification 93B05 Controllability