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.
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Original Russian Text © A.A. Shcheglova, 2008, published in Avtomatika i Telemekhanika, 2008, No. 10, pp. 57–80
This work was supported by the Program of the Russian Academy of Sciences, project no. 22, and by the Russian President Program for Scientific Schools, project no. NSH-1676.2008.1.