Abstract:
We consider a control system of nonlinear ordinary differential equations unsolved for the derivative of the desired vector-function, the system having arbitrarily high index of unsolvability. For such systems the null-controllability by linear approximation is investigated. Conditions of complete controllability are obtained for the linear system with smooth coefficients. It is shown that the complete controllability implies the local null-controllability in the linear case.
Fulltext:
PDF file (335 kB)
