Representation and realization of the generalized solutions of the unlimited-locus controllable systems

Consideration was given to various cases of controllability of the limit system describing behavior of a system with unlimited set of rates under (practically sufficiently high) pulse control actions. In compliance with these cases, the structure of the generalized solutions of the initial system was determined as regular solutions of a smaller-order system called the derivative system. Using the facts of the geometrical control theory, proposed was a multistage procedure for construction of the sequences of permissible solutions of the initial system approximating solutions of the derivative system. The presentation was illustrated by an example.