We study the problem of exact controllability for a broad class of neutral and mixed systems with time delay. We consider
an equivalent operator model in a Hilbert space and formulate steering conditions for controllable states in the form of
a vector moment problem. The existence of a basis of eigenvectors of the operator of system with delay significantly
simplifies the form of the moment problem. A change of function in the control by a feedback law modi es the system
structure in order to guarantee the existence of a basis of eigenvectors of the corresponding operator. We prove a criterion
for the exact controllability and determine the exact critical time of control.
Citation Example:Barkhayev P. Yu., Rabah R., Sklyar G. M. On the problem of exact controllability of neutral
systems with time delay // Ukr. Mat. Zh. - 2016. - 68, № 6. - pp. 800-815.